Some Congruences of Kloosterman Sums and their Minimal Polynomials

Faruk Gologlu; Gary McGuire; Richard Moloney

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arXiv · 1012.0964

Some Congruences of Kloosterman Sums and their Minimal Polynomials

Faruk Gologlu·Gary McGuire·Richard Moloney

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Abstract

We prove two results on Kloosterman sums over finite fields, using Stickelberger's theorem and the Gross-Koblitz formula. The first result concerns the minimal polynomial over Q of a Kloosterman sum, and the second result gives a characterisation of ternary Kloosterman sums modulo 27.

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Faruk Gologlu, Gary McGuire, Richard Moloney. 2010-12-05. Some Congruences of Kloosterman Sums and their Minimal Polynomials. https://arxiv.org/abs/1012.0964

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