Binary Kloosterman sums using Stickelberger's theorem and the Gross–Koblitz formula

DOI10.4064/aa148-3-4zbMath1242.11060arXiv1005.4548OpenAlexW2964043197MaRDI QIDQ2994985

Gary McGuire, Faruk Göloğlu, Richard Moloney

Publication date: 29 April 2011

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4548

zbMATH Keywords

finite fieldsKloosterman sumsGross-Koblitz formuladyadic numbers

Mathematics Subject Classification ID

Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (11)

On classical Kloosterman sums ⋮ Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients ⋮ On divisibility of exponential sums of polynomials of special type over fields of characteristic 2 ⋮ On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients ⋮ Some congruences of Kloosterman sums and their characteristic polynomials ⋮ Ternary Kloosterman sums modulo 4 ⋮ On subspaces of Kloosterman zeros and permutations of the form \(L_1(x^{-1})+L_2(x)\) ⋮ On Kloosterman sums over finite fields of characteristic 3 ⋮ Special values of Kloosterman sums and binomial bent functions ⋮ An efficient deterministic test for Kloosterman sum zeros ⋮ A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions

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