Exponential Sums of Witt Towers over Affinoids
Number Theory
2019-06-06 v1
Abstract
In this paper we construct a Dwork theory for general exponential sums over affinoids in Witt towers. Using this, we compute the degree of the -function, its Hodge polygon and examine when the Hodge and Newton polygons coincide.
Keywords
Cite
@article{arxiv.1906.01766,
title = {Exponential Sums of Witt Towers over Affinoids},
author = {Matthew Schmidt},
journal= {arXiv preprint arXiv:1906.01766},
year = {2019}
}