Category Archives: Research

o-ASTEROID-EARTH-facebook

The Pontryagin Maximum Principle and asteroid missions

Professor Monique Chyba and graduate student Geoff Patterson from the UH Department of Mathematics have a joint project with Robert Jedicke from the UH Institute for Astronomy to design spacecraft rendezvous missions with Temporarily Captured Orbiters (TCOs), the so-called minimoons, which
form a subset of the population of Near Earth Objects (NEOs).

The spacecraft is parked on a Halo orbit around the Earth-Moon’s L1 or L2 libration points and the criterion to minimize during the transfer is the consumption of fuel.

Using a sun perturbed 4 body model, and indirect methods based on the Pontryagin Maximum Principle, combined with continuation techniques and a direct method to address the sensitivity of the initialization, they compute efficient rendezvous missions to a large pool of synthetic minimoons.

This project is one of the topics at the outreach event Reach for the Stars on December 10, 2014.

option-game-screenshot

Math research: all fun and games?

Wherein we try to illustrate by an example what research into pure mathematics is, and how it fits in with teaching of courses and applying for grants

In a small class project for MATH 301 (Discrete Mathematics, taught by Prof. Kjos-Hanssen) in Spring 2009, students studied a notion of automatic complexity of a sequence of zeros and ones.

Play the Complexity Guessing Game

This is a miniature version of the notion of Kolmogorov complexity.
A computer program written by three students in the class calculated the complexity of all such sequences of length at most 7.
The perhaps most interesting finding was that the string $011100$ is the only string of length $6$ or less whose complexity is increased when read backwards.
That is, 001110 is more complicated than 011100.

0100011001010101111100-01234567898989895671234
Pictured: a finite state automaton which only accepts one string of length 22, namely 0100011001010101111100, and which has 10 states. We say that this automaton is a witness to the fact that the string 0100011001010101111100 has automatic complexity at most 10.

  • This project was continued by Master’s student Kayleigh Hyde, who graduated in 2013. Hyde and Kjos-Hanssen wrote a paper on this subject which was accepted for publication
    and presented by Hyde at the conference COCOON (International Computing and Combinatorics Conference) in Atlanta, Georgia, in August 2014.
  • In September 2014 Prof. Kjos-Hanssen was awarded a five-year grant from the Simons Foundation, also entitled “Automatic Complexity”, to continue this research in collaboration with other mathematicians. This grant is part of the grant program Collaboration Grants for Mathematicians.

This line of development from 2009 to 2014 is an example of vertical integration of all levels from beginning undergraduate work, through graduate theses, to externally funded research.

In a new project, Prof. Kjos-Hanssen investigates the use of so-called structure functions for automatic complexity to statistically analyze data. For example, the most statistically significant fact about a string such as 0000000010000000100, from an automatic point of view, may be the fact that it contains exactly two 1s. The precise number of 0s that occurs may be relatively insignificant. The theory of structure functions makes this intuitive idea precise.

This story was presented in a general audience to the Dean’s Office of the College of Natural Sciences on May 5. View the slides

Play the Complexity Option Game

Recent publications

A list of University of Hawaii at Manoa mathematics faculty publications from MathSciNet covering the years 2014 and 2015.
(The list was obtained from a MatSciNet search for institution codes 1-HI and 1-HI-NDM.)

  • [DOI] D. M. Arnold, A. Mader, O. Mutzbauer, and E. Solak, “The class of $(1,3)$-groups with homocyclic regulator quotient of exponent $p^4$ has bounded representation type,” J. algebra, vol. 400, pp. 43-55, 2014.
    [Bibtex]
    @article {MR3147361,
    AUTHOR = {Arnold, David M. and Mader, Adolf and Mutzbauer, Otto and
    Solak, Ebru},
    TITLE = {The class of {$(1,3)$}-groups with homocyclic regulator
    quotient of exponent {$p^4$} has bounded representation
    type},
    JOURNAL = {J. Algebra},
    FJOURNAL = {Journal of Algebra},
    VOLUME = {400},
    YEAR = {2014},
    PAGES = {43--55},
    ISSN = {0021-8693},
    MRCLASS = {20K15 (16G60 20K25 20K35)},
    MRNUMBER = {3147361},
    MRREVIEWER = {Simion Sorin P. Breaz},
    DOI = {10.1016/j.jalgebra.2013.10.029},
    URL = {http://dx.doi.org/10.1016/j.jalgebra.2013.10.029},
    }
  • [DOI] G. Gunatillake, M. Jovovic, and W. Smith, “Numerical ranges of weighted composition operators,” J. math. anal. appl., vol. 413, iss. 1, pp. 458-475, 2014.
    [Bibtex]
    @article {MR3153598,
    AUTHOR = {Gunatillake, Gajath and Jovovic, Mirjana and Smith, Wayne},
    TITLE = {Numerical ranges of weighted composition operators},
    JOURNAL = {J. Math. Anal. Appl.},
    FJOURNAL = {Journal of Mathematical Analysis and Applications},
    VOLUME = {413},
    YEAR = {2014},
    NUMBER = {1},
    PAGES = {458--475},
    ISSN = {0022-247X},
    MRCLASS = {47A12 (30H10 47B33)},
    MRNUMBER = {3153598},
    MRREVIEWER = {I. Spitkovsky},
    DOI = {10.1016/j.jmaa.2013.11.042},
    URL = {http://dx.doi.org/10.1016/j.jmaa.2013.11.042},
    }
  • X. Faber, “Rational functions with a unique critical point,” Int. math. res. not. imrn, iss. 3, pp. 681-699, 2014.
    [Bibtex]
    @article {MR3163563,
    AUTHOR = {Faber, Xander},
    TITLE = {Rational functions with a unique critical point},
    JOURNAL = {Int. Math. Res. Not. IMRN},
    FJOURNAL = {International Mathematics Research Notices. IMRN},
    YEAR = {2014},
    NUMBER = {3},
    PAGES = {681--699},
    ISSN = {1073-7928},
    MRCLASS = {37F50 (37F20)},
    MRNUMBER = {3163563},
    }
  • [DOI] K. Bringmann, P. Guerzhoy, and B. Kane, “Shintani lifts and fractional derivatives for harmonic weak Maass forms,” Adv. math., vol. 255, pp. 641-671, 2014.
    [Bibtex]
    @article {MR3167495,
    AUTHOR = {Bringmann, Kathrin and Guerzhoy, Pavel and Kane, Ben},
    TITLE = {Shintani lifts and fractional derivatives for harmonic weak
    {M}aass forms},
    JOURNAL = {Adv. Math.},
    FJOURNAL = {Advances in Mathematics},
    VOLUME = {255},
    YEAR = {2014},
    PAGES = {641--671},
    ISSN = {0001-8708},
    MRCLASS = {11F11 (11F25 11F37)},
    MRNUMBER = {3167495},
    MRREVIEWER = {Jannis A. Antoniadis},
    DOI = {10.1016/j.aim.2014.01.015},
    URL = {http://dx.doi.org/10.1016/j.aim.2014.01.015},
    }
  • [DOI] D. Arnold, A. Mader, O. Mutzbauer, and E. Solak, “Representations of posets and indecomposable torsion-free abelian groups,” Comm. algebra, vol. 42, iss. 3, pp. 1287-1311, 2014.
    [Bibtex]
    @article {MR3169630,
    AUTHOR = {Arnold, David and Mader, Adolf and Mutzbauer, Otto and Solak,
    Ebru},
    TITLE = {Representations of posets and indecomposable torsion-free
    abelian groups},
    JOURNAL = {Comm. Algebra},
    FJOURNAL = {Communications in Algebra},
    VOLUME = {42},
    YEAR = {2014},
    NUMBER = {3},
    PAGES = {1287--1311},
    ISSN = {0092-7872},
    MRCLASS = {20K15 (16G60 20K25)},
    MRNUMBER = {3169630},
    MRREVIEWER = {Mary Flagg},
    DOI = {10.1080/00927872.2012.738337},
    URL = {http://dx.doi.org/10.1080/00927872.2012.738337},
    }
  • [DOI] R. Jones and M. Manes, “Galois theory of quadratic rational functions,” Comment. math. helv., vol. 89, iss. 1, pp. 173-213, 2014.
    [Bibtex]
    @article {MR3177912,
    AUTHOR = {Jones, Rafe and Manes, Michelle},
    TITLE = {Galois theory of quadratic rational functions},
    JOURNAL = {Comment. Math. Helv.},
    FJOURNAL = {Commentarii Mathematici Helvetici. A Journal of the Swiss
    Mathematical Society},
    VOLUME = {89},
    YEAR = {2014},
    NUMBER = {1},
    PAGES = {173--213},
    ISSN = {0010-2571},
    MRCLASS = {37P15 (11R32)},
    MRNUMBER = {3177912},
    MRREVIEWER = {Andreas O. Bender},
    DOI = {10.4171/CMH/316},
    URL = {http://dx.doi.org/10.4171/CMH/316},
    }
  • [DOI] C. Allday, M. Franz, and V. Puppe, “Equivariant Poincaré-Alexander-Lefschetz duality and the Cohen-Macaulay property,” Algebr. geom. topol., vol. 14, iss. 3, pp. 1339-1375, 2014.
    [Bibtex]
    @article {MR3190596,
    AUTHOR = {Allday, Christopher and Franz, Matthias and Puppe, Volker},
    TITLE = {Equivariant {P}oincar\'e-{A}lexander-{L}efschetz duality and
    the {C}ohen-{M}acaulay property},
    JOURNAL = {Algebr. Geom. Topol.},
    FJOURNAL = {Algebraic \& Geometric Topology},
    VOLUME = {14},
    YEAR = {2014},
    NUMBER = {3},
    PAGES = {1339--1375},
    ISSN = {1472-2747},
    MRCLASS = {55N91 (13C14 57R91)},
    MRNUMBER = {3190596},
    MRREVIEWER = {Jason Stuart Hanson},
    DOI = {10.2140/agt.2014.14.1339},
    URL = {http://dx.doi.org/10.2140/agt.2014.14.1339},
    }
  • [DOI] E. Fuselier, T. Hangelbroek, F. J. Narcowich, J. D. Ward, and G. B. Wright, “Kernel based quadrature on spheres and other homogeneous spaces,” Numer. math., vol. 127, iss. 1, pp. 57-92, 2014.
    [Bibtex]
    @article {MR3191217,
    AUTHOR = {Fuselier, E. and Hangelbroek, T. and Narcowich, F. J. and
    Ward, J. D. and Wright, G. B.},
    TITLE = {Kernel based quadrature on spheres and other homogeneous
    spaces},
    JOURNAL = {Numer. Math.},
    FJOURNAL = {Numerische Mathematik},
    VOLUME = {127},
    YEAR = {2014},
    NUMBER = {1},
    PAGES = {57--92},
    ISSN = {0029-599X},
    MRCLASS = {65D30 (41A55 41A63 46E22 65D32)},
    MRNUMBER = {3191217},
    MRREVIEWER = {Kai Diethelm},
    DOI = {10.1007/s00211-013-0581-1},
    URL = {http://dx.doi.org/10.1007/s00211-013-0581-1},
    }
  • [DOI] E. Guentner, “Permanence in coarse geometry,” in Recent progress in general topology. III, Atlantis Press, Paris, 2014, pp. 507-533.
    [Bibtex]
    @incollection {MR3205491,
    AUTHOR = {Guentner, Erik},
    TITLE = {Permanence in coarse geometry},
    BOOKTITLE = {Recent progress in general topology. {III}},
    PAGES = {507--533},
    PUBLISHER = {Atlantis Press, Paris},
    YEAR = {2014},
    MRCLASS = {53C23 (46L85 54E35)},
    MRNUMBER = {3205491},
    MRREVIEWER = {Juhani Alex Kasper Koivisto},
    DOI = {10.2991/978-94-6239-024-9_11},
    URL = {http://dx.doi.org/10.2991/978-94-6239-024-9_11},
    }
  • [DOI] B. Kjos-Hanssen, A. Taveneaux, and N. Thapen, “How much randomness is needed for statistics?,” Ann. pure appl. logic, vol. 165, iss. 9, pp. 1470-1483, 2014.
    [Bibtex]
    @article {MR3210079,
    AUTHOR = {Kjos-Hanssen, Bj{\o}rn and Taveneaux, Antoine and Thapen,
    Neil},
    TITLE = {How much randomness is needed for statistics?},
    JOURNAL = {Ann. Pure Appl. Logic},
    FJOURNAL = {Annals of Pure and Applied Logic},
    VOLUME = {165},
    YEAR = {2014},
    NUMBER = {9},
    PAGES = {1470--1483},
    ISSN = {0168-0072},
    MRCLASS = {03D32 (03D28 68Q30)},
    MRNUMBER = {3210079},
    DOI = {10.1016/j.apal.2014.04.014},
    URL = {http://dx.doi.org/10.1016/j.apal.2014.04.014},
    }
  • C. Freer, B. Kjos-Hanssen, A. Nies, and F. Stephan, “Algorithmic aspects of Lipschitz functions,” Computability, vol. 3, iss. 1, pp. 45-61, 2014.
    [Bibtex]
    @article {MR3216774,
    AUTHOR = {Freer, Cameron and Kjos-Hanssen, Bj{\o}rn and Nies, Andr{\'e}
    and Stephan, Frank},
    TITLE = {Algorithmic aspects of {L}ipschitz functions},
    JOURNAL = {Computability},
    FJOURNAL = {Computability},
    VOLUME = {3},
    YEAR = {2014},
    NUMBER = {1},
    PAGES = {45--61},
    ISSN = {2211-3568},
    MRCLASS = {03D32},
    MRNUMBER = {3216774},
    }
  • J. R. Doyle, X. Faber, and D. Krumm, “Preperiodic points for quadratic polynomials over quadratic fields,” New york j. math., vol. 20, pp. 507-605, 2014.
    [Bibtex]
    @article {MR3218788,
    AUTHOR = {Doyle, John R. and Faber, Xander and Krumm, David},
    TITLE = {Preperiodic points for quadratic polynomials over quadratic
    fields},
    JOURNAL = {New York J. Math.},
    FJOURNAL = {New York Journal of Mathematics},
    VOLUME = {20},
    YEAR = {2014},
    PAGES = {507--605},
    ISSN = {1076-9803},
    MRCLASS = {37P35 (14G05)},
    MRNUMBER = {3218788},
    URL = {http://nyjm.albany.edu:8000/j/2014/20_507.html},
    }
  • G. Csordas, “Turán-type inequalities and the distribution of zeros of entire functions,” in Number theory, analysis, and combinatorics, De Gruyter, Berlin, 2014, pp. 25-40.
    [Bibtex]
    @incollection {MR3220109,
    AUTHOR = {Csordas, George},
    TITLE = {Tur\'an-type inequalities and the distribution of zeros of
    entire functions},
    BOOKTITLE = {Number theory, analysis, and combinatorics},
    SERIES = {De Gruyter Proc. Math.},
    PAGES = {25--40},
    PUBLISHER = {De Gruyter, Berlin},
    YEAR = {2014},
    MRCLASS = {30C10 (26D15 33C05)},
    MRNUMBER = {3220109},
    }
  • [DOI] A. Levy, M. Manes, and B. Thompson, “Uniform bounds for preperiodic points in families of twists,” Proc. amer. math. soc., vol. 142, iss. 9, pp. 3075-3088, 2014.
    [Bibtex]
    @article {MR3223364,
    AUTHOR = {Levy, Alon and Manes, Michelle and Thompson, Bianca},
    TITLE = {Uniform bounds for preperiodic points in families of twists},
    JOURNAL = {Proc. Amer. Math. Soc.},
    FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {142},
    YEAR = {2014},
    NUMBER = {9},
    PAGES = {3075--3088},
    ISSN = {0002-9939},
    MRCLASS = {37P05 (11R99)},
    MRNUMBER = {3223364},
    MRREVIEWER = {Andreas O. Bender},
    DOI = {10.1090/S0002-9939-2014-12086-7},
    URL = {http://dx.doi.org/10.1090/S0002-9939-2014-12086-7},
    }
  • [DOI] K. Turner, Y. Mileyko, S. Mukherjee, and J. Harer, “Fréchet means for distributions of persistence diagrams,” Discrete comput. geom., vol. 52, iss. 1, pp. 44-70, 2014.
    [Bibtex]
    @article {MR3231030,
    AUTHOR = {Turner, Katharine and Mileyko, Yuriy and Mukherjee, Sayan and
    Harer, John},
    TITLE = {Fr\'echet means for distributions of persistence diagrams},
    JOURNAL = {Discrete Comput. Geom.},
    FJOURNAL = {Discrete \& Computational Geometry. An International Journal
    of Mathematics and Computer Science},
    VOLUME = {52},
    YEAR = {2014},
    NUMBER = {1},
    PAGES = {44--70},
    ISSN = {0179-5376},
    MRCLASS = {68U05 (53C23 60B10 62G05 65C50 94A15)},
    MRNUMBER = {3231030},
    DOI = {10.1007/s00454-014-9604-7},
    URL = {http://dx.doi.org/10.1007/s00454-014-9604-7},
    }
  • [DOI] D. Lukas, M. Manes, and D. Yap, “A census of quadratic post-critically finite rational functions defined over $\Bbb{Q}$,” Lms j. comput. math., vol. 17, iss. suppl. A, pp. 314-329, 2014.
    [Bibtex]
    @article {MR3240812,
    AUTHOR = {Lukas, David and Manes, Michelle and Yap, Diane},
    TITLE = {A census of quadratic post-critically finite rational
    functions defined over {$\Bbb{Q}$}},
    JOURNAL = {LMS J. Comput. Math.},
    FJOURNAL = {LMS Journal of Computation and Mathematics},
    VOLUME = {17},
    YEAR = {2014},
    NUMBER = {suppl. A},
    PAGES = {314--329},
    ISSN = {1461-1570},
    MRCLASS = {37P05 (37P15)},
    MRNUMBER = {3240812},
    MRREVIEWER = {Andreas O. Bender},
    DOI = {10.1112/S1461157014000266},
    URL = {http://dx.doi.org/10.1112/S1461157014000266},
    }
  • [DOI] R. Willett and G. Yu, “Geometric property (T),” Chin. ann. math. ser. b, vol. 35, iss. 5, pp. 761-800, 2014.
    [Bibtex]
    @article {MR3246936,
    AUTHOR = {Willett, Rufus and Yu, Guoliang},
    TITLE = {Geometric property ({T})},
    JOURNAL = {Chin. Ann. Math. Ser. B},
    FJOURNAL = {Chinese Annals of Mathematics. Series B},
    VOLUME = {35},
    YEAR = {2014},
    NUMBER = {5},
    PAGES = {761--800},
    ISSN = {0252-9599},
    MRCLASS = {58J22 (20F65 46L85)},
    MRNUMBER = {3246936},
    MRREVIEWER = {Qin Wang},
    DOI = {10.1007/s11401-014-0852-x},
    URL = {http://dx.doi.org/10.1007/s11401-014-0852-x},
    }
  • [DOI] K. K. Hyde and B. Kjos-Hanssen, “Nondeterministic automatic complexity of almost square-free and strongly cube-free words,” in Computing and combinatorics, Springer, Cham, 2014, vol. 8591, pp. 61-70.
    [Bibtex]
    @incollection {MR3247576,
    AUTHOR = {Hyde, Kayleigh K. and Kjos-Hanssen, Bj{\o}rn},
    TITLE = {Nondeterministic automatic complexity of almost square-free
    and strongly cube-free words},
    BOOKTITLE = {Computing and combinatorics},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {8591},
    PAGES = {61--70},
    PUBLISHER = {Springer, Cham},
    YEAR = {2014},
    MRCLASS = {68R15},
    MRNUMBER = {3247576},
    DOI = {10.1007/978-3-319-08783-2_6},
    URL = {http://dx.doi.org/10.1007/978-3-319-08783-2_6},
    }
  • [DOI] T. Hangelbroek and A. Lauve, “The polyharmonic Dirichlet problem and path counting,” J. math. pures appl. (9), vol. 102, iss. 3, pp. 449-481, 2014.
    [Bibtex]
    @article {MR3249719,
    AUTHOR = {Hangelbroek, Thomas and Lauve, Aaron},
    TITLE = {The polyharmonic {D}irichlet problem and path counting},
    JOURNAL = {J. Math. Pures Appl. (9)},
    FJOURNAL = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme
    S\'erie},
    VOLUME = {102},
    YEAR = {2014},
    NUMBER = {3},
    PAGES = {449--481},
    ISSN = {0021-7824},
    MRCLASS = {35J40 (05A15 31B30 41A15 94A08)},
    MRNUMBER = {3249719},
    MRREVIEWER = {Ji{\v{r}}{\'{\i}} R{\'a}kosn{\'{\i}}k},
    DOI = {10.1016/j.matpur.2013.12.001},
    URL = {http://dx.doi.org/10.1016/j.matpur.2013.12.001},
    }
  • [DOI] T. C. Craven and T. L. Smith, “Symmetric algebras over rings and fields,” Bull. aust. math. soc., vol. 89, iss. 3, pp. 466-472, 2014.
    [Bibtex]
    @article {MR3254756,
    AUTHOR = {Craven, Thomas C. and Smith, Tara L.},
    TITLE = {Symmetric algebras over rings and fields},
    JOURNAL = {Bull. Aust. Math. Soc.},
    FJOURNAL = {Bulletin of the Australian Mathematical Society},
    VOLUME = {89},
    YEAR = {2014},
    NUMBER = {3},
    PAGES = {466--472},
    ISSN = {0004-9727},
    MRCLASS = {16L60 (15A63)},
    MRNUMBER = {3254756},
    DOI = {10.1017/S0004972713000798},
    URL = {http://dx.doi.org/10.1017/S0004972713000798},
    }
  • [DOI] A. Anderson, M. Jovovic, and W. Smith, “Some integral operators acting on $H^\infty$,” Integral equations operator theory, vol. 80, iss. 2, pp. 275-291, 2014.
    [Bibtex]
    @article {MR3260854,
    AUTHOR = {Anderson, Austin and Jovovic, Mirjana and Smith, Wayne},
    TITLE = {Some integral operators acting on {$H^\infty$}},
    JOURNAL = {Integral Equations Operator Theory},
    FJOURNAL = {Integral Equations and Operator Theory},
    VOLUME = {80},
    YEAR = {2014},
    NUMBER = {2},
    PAGES = {275--291},
    ISSN = {0378-620X},
    MRCLASS = {47B38 (30H05 47G10)},
    MRNUMBER = {3260854},
    MRREVIEWER = {Maria J. Carro},
    DOI = {10.1007/s00020-014-2161-x},
    URL = {http://dx.doi.org/10.1007/s00020-014-2161-x},
    }
  • [DOI] L. De Marco and X. Faber, “Degenerations of complex dynamical systems,” Forum math. sigma, vol. 2, p. e6, 36, 2014.
    [Bibtex]
    @article {MR3264250,
    AUTHOR = {De Marco, Laura and Faber, Xander},
    TITLE = {Degenerations of complex dynamical systems},
    JOURNAL = {Forum Math. Sigma},
    FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {2},
    YEAR = {2014},
    PAGES = {e6, 36},
    ISSN = {2050-5094},
    MRCLASS = {37F10 (37F45 37P50)},
    MRNUMBER = {3264250},
    MRREVIEWER = {Xavier Jarque},
    DOI = {10.1017/fms.2014.8},
    URL = {http://dx.doi.org/10.1017/fms.2014.8},
    }
  • [DOI] C. Allday, M. Franz, and V. Puppe, “Equivariant cohomology, syzygies and orbit structure,” Trans. amer. math. soc., vol. 366, iss. 12, pp. 6567-6589, 2014.
    [Bibtex]
    @article {MR3267019,
    AUTHOR = {Allday, Christopher and Franz, Matthias and Puppe, Volker},
    TITLE = {Equivariant cohomology, syzygies and orbit structure},
    JOURNAL = {Trans. Amer. Math. Soc.},
    FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {366},
    YEAR = {2014},
    NUMBER = {12},
    PAGES = {6567--6589},
    ISSN = {0002-9947},
    MRCLASS = {55N91 (13D02 57P10)},
    MRNUMBER = {3267019},
    MRREVIEWER = {Shintar{\^o} Kuroki},
    DOI = {10.1090/S0002-9947-2014-06165-5},
    URL = {http://dx.doi.org/10.1090/S0002-9947-2014-06165-5},
    }
  • [DOI] J. J. McArdle, F. Hamagami, J. Y. Chang, and E. S. Hishinuma, “Longitudinal dynamic analyses of depression and academic achievement in the Hawaiian High Schools Health Survey using contemporary latent variable change models,” Struct. equ. model., vol. 21, iss. 4, pp. 608-629, 2014.
    [Bibtex]
    @article {MR3268579,
    AUTHOR = {McArdle, John J. and Hamagami, Fumiaki and Chang, Janice Y.
    and Hishinuma, Earl S.},
    TITLE = {Longitudinal dynamic analyses of depression and academic
    achievement in the {H}awaiian {H}igh {S}chools {H}ealth
    {S}urvey using contemporary latent variable change models},
    JOURNAL = {Struct. Equ. Model.},
    FJOURNAL = {Structural Equation Modeling. A Multidisciplinary Journal},
    VOLUME = {21},
    YEAR = {2014},
    NUMBER = {4},
    PAGES = {608--629},
    ISSN = {1070-5511},
    MRCLASS = {Database Expansion Item},
    MRNUMBER = {3268579},
    DOI = {10.1080/10705511.2014.919824},
    URL = {http://dx.doi.org/10.1080/10705511.2014.919824},
    }
  • [DOI] M. Ferrarotti, E. Fortuna, and L. Wilson, “Local algebraic approximation of semianalytic sets,” Proc. amer. math. soc., vol. 143, iss. 1, pp. 13-23, 2015.
    [Bibtex]
    @article {MR3272727,
    AUTHOR = {Ferrarotti, M. and Fortuna, E. and Wilson, L.},
    TITLE = {Local algebraic approximation of semianalytic sets},
    JOURNAL = {Proc. Amer. Math. Soc.},
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    @article {MR3274611,
    AUTHOR = {Arnold, David and Mader, Adolf and Mutzbauer, Otto and Solak,
    Ebru},
    TITLE = {Representations of posets and decompositions of rigid almost
    completely decomposable groups},
    JOURNAL = {Palest. J. Math.},
    FJOURNAL = {Palestine Journal of Mathematics},
    VOLUME = {3},
    YEAR = {2014},
    NUMBER = {Special issue},
    PAGES = {320--342},
    ISSN = {2219-5688},
    MRCLASS = {20K15 (20K25)},
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    }
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    @article {MR3275025,
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    TITLE = {On the {H}ochschild and cyclic (co)homology of rapid decay
    group algebras},
    JOURNAL = {J. Noncommut. Geom.},
    FJOURNAL = {Journal of Noncommutative Geometry},
    VOLUME = {8},
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    TITLE = {Kronecker constants of arithmetic progressions},
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    VOLUME = {23},
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    NUMBER = {4},
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    URL = {http://dx.doi.org/10.1080/10586458.2014.928656},
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    @article {MR3283655,
    AUTHOR = {Faber, Xander},
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    structures for quadratic polynomials},
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    FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {143},
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    @article {MR3283753,
    AUTHOR = {Faber, Xander and Manes, Michelle and Viray, Bianca},
    TITLE = {Computing conjugating sets and automorphism groups of rational
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    JOURNAL = {J. Algebra},
    FJOURNAL = {Journal of Algebra},
    VOLUME = {423},
    YEAR = {2015},
    PAGES = {1161--1190},
    ISSN = {0021-8693},
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    MRREVIEWER = {Andreas O. Bender},
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    URL = {http://dx.doi.org/10.1016/j.jalgebra.2014.08.048},
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    theorem in continuous time},
    JOURNAL = {Log. Methods Comput. Sci.},
    FJOURNAL = {Logical Methods in Computer Science},
    VOLUME = {10},
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    NUMBER = {4},
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    MRCLASS = {03D32 (60G99 60J65)},
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    AUTHOR = {Guerzhoy, P.},
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    JOURNAL = {Ramanujan J.},
    FJOURNAL = {Ramanujan Journal. An International Journal Devoted to the
    Areas of Mathematics Influenced by Ramanujan},
    VOLUME = {36},
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    NUMBER = {1-2},
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    MRCLASS = {11F12 (11F37)},
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    URL = {http://dx.doi.org/10.1007/s11139-013-9496-9},
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    @incollection {MR3297404,
    AUTHOR = {Kjos-Hanssen, Bj{\o}rn},
    TITLE = {Kolmogorov structure functions for automatic complexity in
    computational statistics},
    BOOKTITLE = {Combinatorial optimization and applications},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {8881},
    PAGES = {652--665},
    PUBLISHER = {Springer, Cham},
    YEAR = {2014},
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    DOI = {10.1007/978-3-319-12691-3_49},
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    FJOURNAL = {Institute of Electrical and Electronics Engineers.
    Transactions on Information Theory},
    VOLUME = {61},
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    MRCLASS = {94B05 (94B60)},
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    URL = {http://dx.doi.org/10.1109/TIT.2014.2365020},
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    @article {MR3301012,
    AUTHOR = {Bonnard, Bernard and Chyba, Monique},
    TITLE = {Preface: control and observation of nonlinear control systems
    with applications to medicine and space mechanics},
    JOURNAL = {Acta Appl. Math.},
    FJOURNAL = {Acta Applicandae Mathematicae. An International Survey Journal
    on Applying Mathematics and Mathematical Applications},
    VOLUME = {135},
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    URL = {http://dx.doi.org/10.1007/s10440-014-9946-4},
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    @article {MR3301015,
    AUTHOR = {Chekroun, Micka{\"e}l D. and Liu, Honghu},
    TITLE = {Finite-horizon parameterizing manifolds, and applications to
    suboptimal control of nonlinear parabolic {PDE}s},
    JOURNAL = {Acta Appl. Math.},
    FJOURNAL = {Acta Applicandae Mathematicae. An International Survey Journal
    on Applying Mathematics and Mathematical Applications},
    VOLUME = {135},
    YEAR = {2015},
    PAGES = {81--144},
    ISSN = {0167-8019},
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    AUTHOR = {Chyba, Monique and Coron, Jean-Michel and Gabriel, Pierre and
    Jacquemard, Alain and Patterson, Geoff and Picot, Gautier and
    Shang, Peipei},
    TITLE = {Optimal geometric control applied to the protein misfolding
    cyclic amplification process},
    JOURNAL = {Acta Appl. Math.},
    FJOURNAL = {Acta Applicandae Mathematicae. An International Survey Journal
    on Applying Mathematics and Mathematical Applications},
    VOLUME = {135},
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    @article {MR3301019,
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    TITLE = {Quantum perfect state transfer in a 2{D} lattice},
    JOURNAL = {Acta Appl. Math.},
    FJOURNAL = {Acta Applicandae Mathematicae. An International Survey Journal
    on Applying Mathematics and Mathematical Applications},
    VOLUME = {135},
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    MRCLASS = {81Q35 (35Q41 37K60)},
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    JOURNAL = {J. Appl. Stat.},
    FJOURNAL = {Journal of Applied Statistics},
    VOLUME = {42},
    YEAR = {2015},
    NUMBER = {4},
    PAGES = {789--805},
    ISSN = {0266-4763},
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  • B. Hutz and M. Manes, “The field of definition for dynamical systems on $\Bbb P^N$,” Bull. inst. math. acad. sin. (n.s.), vol. 9, iss. 4, pp. 585-601, 2014.
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    @article {MR3309942,
    AUTHOR = {Hutz, Benjamin and Manes, Michelle},
    TITLE = {The field of definition for dynamical systems on {$\Bbb P^N$}},
    JOURNAL = {Bull. Inst. Math. Acad. Sin. (N.S.)},
    FJOURNAL = {Bulletin of the Institute of Mathematics. Academia Sinica. New
    Series},
    VOLUME = {9},
    YEAR = {2014},
    NUMBER = {4},
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    ISSN = {2304-7909},
    MRCLASS = {37P45 (11R34 14J10)},
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    @article {MR3310704,
    AUTHOR = {Arnold, David M. and Mader, Adolf and Mutzbauer, Otto and
    Solak, Ebru},
    TITLE = {{$(1,4)$}-groups with homocyclic regulator quotient of
    exponent {$p^3$}},
    JOURNAL = {Colloq. Math.},
    FJOURNAL = {Colloquium Mathematicum},
    VOLUME = {138},
    YEAR = {2015},
    NUMBER = {1},
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    ISSN = {0010-1354},
    MRCLASS = {20K15 (20K35)},
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    McArdle, John J.},
    TITLE = {Using {R} package {RAM}path for tracing {SEM} path diagrams
    and conducting complex longitudinal data analysis},
    JOURNAL = {Struct. Equ. Model.},
    FJOURNAL = {Structural Equation Modeling. A Multidisciplinary Journal},
    VOLUME = {22},
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    NUMBER = {1},
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    MRCLASS = {Database Expansion Item},
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    TITLE = {Composition as an integral operator},
    JOURNAL = {Adv. Math.},
    FJOURNAL = {Advances in Mathematics},
    VOLUME = {273},
    YEAR = {2015},
    PAGES = {149--187},
    ISSN = {0001-8708},
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    FJOURNAL = {Journal of Approximation Theory},
    VOLUME = {192},
    YEAR = {2015},
    PAGES = {144--155},
    ISSN = {0021-9045},
    MRCLASS = {26D05 (26C10 30C10)},
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    TITLE = {Quantum integrals from coalgebra structure},
    JOURNAL = {J. Phys. A},
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    VOLUME = {48},
    YEAR = {2015},
    NUMBER = {7},
    PAGES = {075205, 23},
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    MRCLASS = {81R12 (17B80)},
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  • X. Faber and A. Towsley, “Newton’s method over global height fields,” J. théor. nombres bordeaux, vol. 26, iss. 2, pp. 347-362, 2014.
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    @article {MR3320483,
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    JOURNAL = {J. Th\'eor. Nombres Bordeaux},
    FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
    VOLUME = {26},
    YEAR = {2014},
    NUMBER = {2},
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    ISSN = {1246-7405},
    MRCLASS = {37P05 (37P15)},
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    URL = {http://jtnb.cedram.org/item?id=JTNB_2014__26_2_347_0},
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  • R. Harron and A. Lei, “Iwasawa theory for symmetric powers of CM modular forms at non-ordinary primes,” J. théor. nombres bordeaux, vol. 26, iss. 3, pp. 673-708, 2014.
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    @article {MR3320498,
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    non-ordinary primes},
    JOURNAL = {J. Th\'eor. Nombres Bordeaux},
    FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
    VOLUME = {26},
    YEAR = {2014},
    NUMBER = {3},
    PAGES = {673--708},
    ISSN = {1246-7405},
    MRCLASS = {11R23 (11F67 11F80)},
    MRNUMBER = {3320498},
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    URL = {http://jtnb.cedram.org/item?id=JTNB_2014__26_2_673_0},
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    TITLE = {Biostatistics faculty and {NIH} awards at {U}.{S}. medical
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    JOURNAL = {Amer. Statist.},
    FJOURNAL = {The American Statistician},
    VOLUME = {69},
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    NUMBER = {1},
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    TITLE = {Groups of unitary composition operators on {H}ardy-{S}mirnov
    spaces},
    JOURNAL = {Proc. Amer. Math. Soc.},
    FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {143},
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    NUMBER = {6},
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    overconvergent modular forms},
    JOURNAL = {Ann. Inst. Fourier (Grenoble)},
    FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {64},
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    NUMBER = {6},
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    MRCLASS = {11F33 (14Fxx)},
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    AUTHOR = {Bringmann, Kathrin and Guerzhoy, Pavel and Kane, Ben},
    TITLE = {On cycle integrals of weakly holomorphic modular forms},
    JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
    FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
    Society},
    VOLUME = {158},
    YEAR = {2015},
    NUMBER = {3},
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    ISSN = {0305-0041},
    MRCLASS = {11F37 (11F11)},
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    @article {MR3343843,
    AUTHOR = {Capel, Joshua J. and Kress, Jonathan M. and Post, Sarah},
    TITLE = {Invariant classification and limits of maximally
    superintegrable systems in 3{D}},
    JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
    FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
    Applications},
    VOLUME = {11},
    YEAR = {2015},
    PAGES = {038, 17},
    ISSN = {1815-0659},
    MRCLASS = {70H06 (70H33 81R05 81R12)},
    MRNUMBER = {3343843},
    MRREVIEWER = {Shao-Ming Fei},
    DOI = {10.3842/SIGMA.2015.038},
    URL = {http://dx.doi.org/10.3842/SIGMA.2015.038},
    }
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    @article {MR3344174,
    AUTHOR = {Guerzhoy, Pavel},
    TITLE = {On {Z}agier's adele},
    JOURNAL = {Res. Math. Sci.},
    FJOURNAL = {Research in the Mathematical Sciences},
    VOLUME = {1},
    YEAR = {2014},
    PAGES = {Art. 7, 19},
    ISSN = {2197-9847},
    MRCLASS = {11F37 (14H52 14L05)},
    MRNUMBER = {3344174},
    DOI = {10.1186/2197-9847-1-7},
    URL = {http://dx.doi.org/10.1186/2197-9847-1-7},
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    @article {MR3346926,
    AUTHOR = {Willett, Rufus},
    TITLE = {Random graphs, weak coarse embeddings, and higher index
    theory},
    JOURNAL = {J. Topol. Anal.},
    FJOURNAL = {Journal of Topology and Analysis},
    VOLUME = {7},
    YEAR = {2015},
    NUMBER = {3},
    PAGES = {361--388},
    ISSN = {1793-5253},
    MRCLASS = {46L85 (05C80 19K56 30L05 46L80)},
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    URL = {http://dx.doi.org/10.1142/S1793525315500156},
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    @article {MR3353951,
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    TITLE = {Projective ordinal sums of lattices and isotone sections},
    JOURNAL = {Order},
    FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
    Applications},
    VOLUME = {32},
    YEAR = {2015},
    NUMBER = {2},
    PAGES = {245--254},
    ISSN = {0167-8094},
    MRCLASS = {06B25 (06B05)},
    MRNUMBER = {3353951},
    MRREVIEWER = {R. Piziak},
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    @article {MR3355197,
    AUTHOR = {Abdushukurov, A. A. and Abdikalikov, F. A.},
    TITLE = {On estimation of mean conditional residual life function under
    random censored data},
    JOURNAL = {New Trends Math. Sci.},
    FJOURNAL = {New Trends in Mathematical Sciences},
    VOLUME = {3},
    YEAR = {2015},
    NUMBER = {1},
    PAGES = {90--96},
    ISSN = {2147-5520},
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    @article {MR3358300,
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    TITLE = {The class of {$(2,2)$}-groups with homocyclic regulator
    quotient of exponent {$p^3$} has bounded representation
    type},
    JOURNAL = {J. Aust. Math. Soc.},
    FJOURNAL = {Journal of the Australian Mathematical Society},
    VOLUME = {99},
    YEAR = {2015},
    NUMBER = {1},
    PAGES = {12--29},
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    MRCLASS = {20K15 (20K25 20K35)},
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    survival models with stacked survival models},
    JOURNAL = {Biostatistics},
    FJOURNAL = {Biostatistics},
    VOLUME = {16},
    YEAR = {2015},
    NUMBER = {3},
    PAGES = {537--549},
    ISSN = {1468-4357},
    MRCLASS = {Database Expansion Item},
    MRNUMBER = {3365445},
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    @article {MR3369500,
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    TITLE = {Exact {K}ronecker constants of three element sets},
    JOURNAL = {Acta Math. Hungar.},
    FJOURNAL = {Acta Mathematica Hungarica},
    VOLUME = {146},
    YEAR = {2015},
    NUMBER = {2},
    PAGES = {306--331},
    ISSN = {0236-5294},
    MRCLASS = {42A10 (11J71 43A46)},
    MRNUMBER = {3369500},
    DOI = {10.1007/s10474-015-0529-2},
    URL = {http://dx.doi.org/10.1007/s10474-015-0529-2},
    }
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    @article {MR3372111,
    AUTHOR = {Post, Sarah},
    TITLE = {Racah polynomials and recoupling schemes of
    {$\mathrm{su}(1,1)$}},
    JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
    FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
    Applications},
    VOLUME = {11},
    YEAR = {2015},
    PAGES = {Paper 057, 17},
    ISSN = {1815-0659},
    MRCLASS = {17B80 (33C45 33C80 81R05 81R12)},
    MRNUMBER = {3372111},
    DOI = {10.3842/SIGMA.2015.057},
    URL = {http://dx.doi.org/10.3842/SIGMA.2015.057},
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    @article {MR3375650,
    AUTHOR = {Guerzhoy, Pavel and Kent, Zachary A. and Rolen, Larry},
    TITLE = {Congruences for {T}aylor expansions of quantum modular forms},
    JOURNAL = {Res. Math. Sci.},
    FJOURNAL = {Research in the Mathematical Sciences},
    VOLUME = {1},
    YEAR = {2014},
    PAGES = {Art. 17, 17},
    ISSN = {2197-9847},
    MRCLASS = {11F20 (11P83)},
    MRNUMBER = {3375650},
    DOI = {10.1186/s40687-014-0017-2},
    URL = {http://dx.doi.org/10.1186/s40687-014-0017-2},
    }