Vol. 30, No. 1, 1969

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A note on exponential sums

L. Carlitz

Vol. 30 (1969), No. 1, 35–37
Abstract

Put S(a) = Σx,y0e(x + y + ax1y1), where xx1 = yy1 = 1, e(x) = x + x2 + + x2nl and the summation is over all nonzero x,y in the finite field GF(q),q = 2n. Then it is shown that S(a) = 0(q) for all a GF(a).

Mathematical Subject Classification
Primary: 10.41
Milestones
Received: 17 June 1968
Published: 1 July 1969
Authors
L. Carlitz