Exponential sums nondegenerate relative to a lattice

Alan Adolphson; Steven Sperber

doi:10.2140/ant.2009.3.881

Exponential sums nondegenerate relative to a lattice

Alan Adolphson, Steven Sperber

School of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Our previous theorems on exponential sums often did not apply or did not give sharp results when certain powers of a variable appearing in the polynomial were divisible by p. We remedy that defect in this paper by systematically applying ppower reduction, making it possible to strengthen and extend our earlier results.

Original language	English (US)
Pages (from-to)	881-906
Number of pages	26
Journal	Algebra and Number Theory
Volume	3
Issue number	8
DOIs	https://doi.org/10.2140/ant.2009.3.881
State	Published - 2009

Keywords

Exponential sums
P-adic cohomology

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10.2140/ant.2009.3.881

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abstract = "Our previous theorems on exponential sums often did not apply or did not give sharp results when certain powers of a variable appearing in the polynomial were divisible by p. We remedy that defect in this paper by systematically applying ppower reduction, making it possible to strengthen and extend our earlier results.",

keywords = "Exponential sums, P-adic cohomology",

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KW - P-adic cohomology

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Exponential sums nondegenerate relative to a lattice

Abstract

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