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

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

2010-06-09

arxiv.org/abs/1006.1802v1

Mathematics

Number Theory

Scientific paper

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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