Gauss sums over finite fields and roots of unity.

Lemke Oliver, Robert J.

Let χ be a non-trivial character of F×q, and let g(χ) be its associated Gauss sum. It is well known that g(χ) = ε(χ) √q, where |ε(χ)| = 1. Using the p-adic gamma function, we give a new proof of a result of Evans which gives necessary and sufficient conditions for ε(χ) to be a root of unity. (c) 2010 American Mathematical Society

Gaussian sums.
Number theory.
Tufts University. Department of Mathematics.
Permanent URL
Original publication
Oliver, Robert J. Lemke. "Gauss Sums over Finite Fields and Roots of Unity." Proceedings of the American Mathematical Society 139, no. 04 (April 1, 2011): 1273-1273. doi:10.1090/s0002-9939-2010-10662-7.
ID: tufts:22351
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