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arXiv 2010-06-09 0 views

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

Gologlu, Faruk · McGuire, Gary · Moloney, Richard

Original · EN

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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