A Whipple formula revisited
Fang-Ting Tu (Louisiana State University)
Abstract: This talk is based on recent joint work with Wen-Ching Winnie Li and Ling Long. We consider the hypergeometric data corresponding to a formula due to Whipple which relates certain hypergeometric values $_7F_6(1)$ and $_4F_3(1)$.
When the hypergeometric data are primitive and defined over the rationals, from identities of hypergeometric character sums, we explain a special structure of the corresponding Galois representations behind Whipple's formula leading to a decomposition that can be described by the Fourier coefficients of Hecke eigenforms. In this talk, I will use an example to demonstrate our approach and relate the hypergeometric values to certain periods of modular forms.
number theory
Audience: researchers in the topic
Heilbronn number theory seminar
Series comments: This is part of the University of Bristol's Heilbronn number theory seminar. If you wish to attend the talk (and are not a Bristolian), please register using this form or email us at bristolhnts@gmail.com with your name and affiliation (if any).
We will email out the link to all registered participants the day before.
Organizers: | Min Lee*, Dan Fretwell, Oleksiy Klurman |
*contact for this listing |