Hasse invariants and mod $p$ solutions of $A$-hypergeometric systems
Number Theory
2012-09-13 v1
Abstract
Igusa noted that the Hasse invariant of the Legendre family of elliptic curves over a finite field of odd characteristic is a solution mod of a Gaussian hypergeometric equation. We show that any family of exponential sums over a finite field has a Hasse invariant which is a sum of products of mod solutions of -hypergeometric systems.
Cite
@article{arxiv.1209.2448,
title = {Hasse invariants and mod $p$ solutions of $A$-hypergeometric systems},
author = {Alan Adolphson and Steven Sperber},
journal= {arXiv preprint arXiv:1209.2448},
year = {2012}
}
Comments
22 pages