Polynomial gauss sums

Stephen D. Cohen; Michael Dewar; John B. Friedlander; Daniel Panario; Igor E. Shparlinski

doi:10.1090/S0002-9939-05-08004-4

Polynomial gauss sums

Stephen D. Cohen^*, Michael Dewar, John B. Friedlander, Daniel Panario, Igor E. Shparlinski

^*Corresponding author for this work

School of Computing

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

Abstract

A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers in certain products of polynomials is established.

Original language	English
Pages (from-to)	2225-2231
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	133
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-05-08004-4
Publication status	Published - Aug 2005

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title = "Polynomial gauss sums",

abstract = "A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers in certain products of polynomials is established.",

author = "Cohen, \{Stephen D.\} and Michael Dewar and Friedlander, \{John B.\} and Daniel Panario and Shparlinski, \{Igor E.\}",

year = "2005",

month = aug,

doi = "10.1090/S0002-9939-05-08004-4",

language = "English",

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AU - Cohen, Stephen D.

AU - Dewar, Michael

AU - Friedlander, John B.

AU - Panario, Daniel

AU - Shparlinski, Igor E.

PY - 2005/8

Y1 - 2005/8

N2 - A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers in certain products of polynomials is established.

AB - A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers in certain products of polynomials is established.

UR - https://www.scopus.com/pages/publications/23744453687

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DO - 10.1090/S0002-9939-05-08004-4

M3 - Article

AN - SCOPUS:23744453687

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VL - 133

SP - 2225

EP - 2231

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

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Polynomial gauss sums

Abstract

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