Transformations of Hypergeometric Motives
Number Theory
2020-06-03 v3
Abstract
We consider algebraic transformations of hypergeometric functions from a geometric point of view. Hypergeometric functions are shown to arise from the deRham realization of a hypergeometric motive. The -adic realization of the motive gives rise to hypergeometric characters sums over finite fields. This helps to unify and explain some recent results about transformations of hypergeometric character sums.
Keywords
Cite
@article{arxiv.2003.05031,
title = {Transformations of Hypergeometric Motives},
author = {J. William Hoffman and Fang-Ting Tu},
journal= {arXiv preprint arXiv:2003.05031},
year = {2020}
}