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Fractal patterns and congruence relations in the Taylor expansion of the Jacobi theta function at x=1
Probability| Speaker: | Dan Romik, UC Davis |
| Related Webpage: | https://www.math.ucdavis.edu/~romik/ |
| Location: | 1147 MSB |
| Start time: | Wed, Nov 1 2017, 4:10PM |
I will discuss work in progress at the interface of combinatorics, modular forms and complex analysis regarding the Taylor expansion of a well known special function, the Jacobi theta function, around the point x=1. Curiously, studying this question leads to some interesting fractal patterns.