Elliot Ossanna, Master’s presentation

April 30, 2018 @ 10:30 am – 11:30 am

Elliot Ossanna, Master’s presentation, Monday, April 30, 2018, 10:30 am, Keller 403

Fractal nature of generalized binomial triangles modulo $p$

Abstract: A well-known property of Pascal’s Triangle is that reducing entries modulo a prime yields a fractal, Sierpinski’s Triangle-like pattern. We generalize this to triangles generated by strong divisibility Lucas Sequences, and conclude that the generated fractal is uniquely determined by the prime modulus, not the underlying generating sequence.