a1 Department of Mathematics, University of California, San Diego, La Jolla, California 92093, U.S.A.
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)
10G05: NUMBER THEORY; Trigonometric sums, exponential sums and character sums; exponential sums