Mathematika

Research Article

Pure Gauss sums over finite fields

Ronald J. Evansa1

a1 Department of Mathematics, University of California, San Diego, La Jolla, California 92093, U.S.A.

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.

(Received March 26 1981)

Key Words:

  • 10G05: NUMBER THEORY; Trigonometric sums, exponential sums and character sums; exponential sums