Ternary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula

2010/06/09 by Gologlu, Faruk, McGuire, Gary, Moloney, Richard
#11L05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1006.1802

Abstract

We give results characterising ternary Kloosterman sums modulo 9 and 27. This leads to a complete characterisation of values that ternary Kloosterman sums assume modulo 18 and 54. The proofs uses Stickelberger's theorem, the Gross-Koblitz formula and Fourier analysis.

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