Hui June Zhu
Published 2013-08-04Version 1
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.
Comments: 16 pages
Journal: J. Number Theory 143 (2014), 82--101
Generic Newton polygon for exponential sums in $n$ variables with parallelotope base
Generic Newton polygon for exponential sums in two variables with triangular base
p-Density, exponential sums and Artin-Schreier curves
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