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Pure Gauss sums over finite fields

Published online by Cambridge University Press:  26 February 2010

Ronald J. Evans
Ronald J. Evans
Affiliation:
Department of Mathematics, University of California, San Diego, La Jolla, California 92093, U.S.A.
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Abstract

New classes of pairs e, p are presented for which the Gauss sums corresponding to characters of order e over finite fields of characteristic p are pure, i.e., have a real power. Certain pure Gauss sums are explicitly evaluated.

Type
Research Article
Information
Mathematika , Volume 28 , Issue 2 , December 1981 , pp. 239 - 248
Copyright
Copyright © University College London 1981

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