Kloosterman sums over finite Frobenius rings

Bogdan Nica

Kloosterman sums over finite Frobenius rings

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arxiv 1910.00165 v1 pith:5PSTFDKJ submitted 2019-10-01 math.NT math.RA

Bogdan Nica This is my paper · ORCID

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keywords kloostermansumsfinitefrobeniusringsaroundclusteredcommutative

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We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Frobenius rings. We prove a number of identities for twisted Kloosterman sums, loosely clustered around moment computations.

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A characterization of Jacobi sums
math.NT 2024-11 conditional novelty 8.0 of 10

A function on a finite abelian group obeying three algebraic identities is shown to be exactly a Jacobi sum of a finite field, up to a single trivial exception.

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