Generic T-adic exponential sums in one variable
Number Theory
2009-11-03 v6 Algebraic Geometry
Abstract
The -adic exponential sum associated to a Laurent polynomial in one variable is studied. An explicit arithmetic polygon is proved to be the generic Newton polygon of the -function of the T-adic exponential sum. It gives the generic Newton polygon of -functions of -power order exponential sums.
Cite
@article{arxiv.0901.0354,
title = {Generic T-adic exponential sums in one variable},
author = {Chunlei Liu and Wenxin Liu and Chuanze Niu},
journal= {arXiv preprint arXiv:0901.0354},
year = {2009}
}
Comments
including update proofs of results of 0802.0271