Twisted exponential sums of polynomials in one variable
Number Theory
2015-05-14 v1 Algebraic Geometry
Abstract
The twisted -adic exponential sum associated to 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 twisted T-adic exponential sum. This bound gives lower bounds for the Newton polygon of the -function of twisted -power order exponential sums.
Cite
@article{arxiv.0912.1929,
title = {Twisted exponential sums of polynomials in one variable},
author = {Chunlei Liu and Wenxin Liu},
journal= {arXiv preprint arXiv:0912.1929},
year = {2015}
}