Generic A-family of exponential sums
Number Theory
2014-08-15 v1
Abstract
In this paper we construct a generating polynomial over the rationals for the generic Newton polygon for the L function of exponential sums of the family of f = x^d+ a x^s parameterized by a, and prove some of its key properties. The generating polynomial encodes information of and determines the generic Newton polygon at each prime p when p is large enough, and vice versa.
Cite
@article{arxiv.1308.0783,
title = {Generic A-family of exponential sums},
author = {Hui June Zhu},
journal= {arXiv preprint arXiv:1308.0783},
year = {2014}
}
Comments
16 pages