$T$-adic exponential sums of polynomials in one variable
Number Theory
2009-11-04 v1 Algebraic Geometry
Abstract
The -adic exponential sum of a polynomial in one variable is studied. An explicit arithmetic polygon in terms of the highest two exponents of the polynomial is proved to be a lower bound of the Newton polygon of the -function of the T-adic exponential sum. This bound gives lower bounds for the Newton polygon of the -function of exponential sums of -power order.
Cite
@article{arxiv.0911.0511,
title = {$T$-adic exponential sums of polynomials in one variable},
author = {Chunlei Liu and Wenxin Liu},
journal= {arXiv preprint arXiv:0911.0511},
year = {2009}
}