On twisted exponential sums
type: Item
instance of: scholarly article
title: On twisted exponential sums
zbMATH Open document ID: 0716.11039
DOI: 10.1007/BF01459269
author: Alan Adolphson
author: Steven Sperber
published in: Mathematische Annalen
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164842
review text: This article deals with exponential sums involving both multiplicative and additive characters. For a general exponential sum, we establish bounds on the degree of the associated L-function. In addition, if the L- function is nicely behaved, we give an estimate for the p-adic size of its reciprocal roots. These results are expressed in terms of the Newton polyhedron of the Laurent polynomial appearing in the exponential sum.
Mathematics Subject Classification ID: 11L07
Mathematics Subject Classification ID: 14M25
zbMATH DE Number: 4179466
zbMATH Keywords: exponential sums
zbMATH Keywords: L-function
zbMATH Keywords: Newton polyhedron of the Laurent polynomial
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4179466