Exponential sums and finite field $A$-hypergeometric functions
Number Theory
2012-10-25 v1
Abstract
We define finite field -hypergeometric functions and show that they are Fourier expansions of families of exponential sums on the torus. For an appropriate choice of , our finite field -hypergeometric function can be specialized to the finite field -hypergeometric function defined by McCarthy.
Cite
@article{arxiv.1210.6400,
title = {Exponential sums and finite field $A$-hypergeometric functions},
author = {Alan Adolphson},
journal= {arXiv preprint arXiv:1210.6400},
year = {2012}
}
Comments
4 pages