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Kloosterman sums over finite Frobenius rings

Number Theory 2023-11-17 v1 Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.1910.00165,
  title  = {Kloosterman sums over finite Frobenius rings},
  author = {Bogdan Nica},
  journal= {arXiv preprint arXiv:1910.00165},
  year   = {2023}
}

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27 pages