Some Congruences of Kloosterman Sums and their Minimal Polynomials

Details Some Congruences of Kloosterman Sums and their Minimal Polynomials Some Congruences of Kloosterman Sums and their Minimal Polynomials

2010-12-05

arxiv.org/abs/1012.0964v1

Mathematics

Number Theory

Scientific paper

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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