Congruences for Brewer sums

Authors:
ŞAban Alaca
Affiliations:
Centre for Research in Algebra and Number Theory, School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, ON, Canada K1S 5B6
Venue:
Finite Fields and Their Applications
Year:
2007

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Abstract

We prove congruences modulo 4 and modulo 8 for certain polynomial character sums, and use these congruences to give conditions for the nonvanishing of Brewer sums.