Date: 2017/09/17
Occasion: Palmetto Number Theory Series (PANTS XXVIII)
Place: University of Tennessee
Abstract
We discuss congruences between truncated hypergeometric series and modular forms. Specifically, we discuss a supercongruence modulo between the th Fourier coefficient of a weight 6 modular form and a truncated -hypergeometric series. The story is intimately tied with Apéry's proof of the irrationality of .
This is joint work with Robert Osburn and Wadim Zudilin.
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2017congruences6f5-pants.pdf | 380.41 KB | Slides (PDF, 33 pages) | 1071 |