%0 PDF
%T Gauss sums over finite fields and roots of unity.
%A Lemke Oliver, Robert J.
%D 2017-07-07T07:52:52.729-04:00
%8 2017-07-07
%I Tufts University. Tisch Library.
%R http://localhost/files/dn39xd36s
%X 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
%[ 2018-10-09
%9 Text
%~ Tufts Digital Library
%W Institution