Generic twisted $T$-adic exponential sums of polynomials
Number Theory
2009-12-08 v2 Algebraic Geometry
Abstract
The twisted -adic exponential sum associated to a polynomial in one variable is studied. An explicit arithmetic polygon is proved to be the generic Newton polygon of the twisted -function of the T-adic exponential sum. It gives the generic Newton polygon of the twisted -functions of -power order exponential sums, for all .
Cite
@article{arxiv.0911.4213,
title = {Generic twisted $T$-adic exponential sums of polynomials},
author = {Chunlei Liu and Chuanze Niu},
journal= {arXiv preprint arXiv:0911.4213},
year = {2009}
}
Comments
16 pages