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Gauss sums and Kloosterman sums over residue rings of algebraic integers

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Publication:2731950
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DOI10.1090/S0002-9947-01-02823-9zbMath1002.11065MaRDI QIDQ2731950

Ronald J. Evans

Publication date: 30 July 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Gauss sumevaluationtwisted Kloosterman sum


Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)


Related Items

GAUSS AND KLOOSTERMAN SUMS OVER RESIDUE RINGS OF ALGEBRAIC INTEGERS ⋮ Kloosterman sums for prime powers in \(p\)-adic fields ⋮ Kloosterman sums over finite Frobenius rings



Cites Work

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  • Sommes de Gauss modulo \(p^\alpha\). I, II
  • On \(n\)-dimensional Kloosterman sums
  • A hyper-Kloosterman sum identity
  • On Multiple Salie Sums
  • Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
  • Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
  • A Generalization of the Chowla-Mordell Theorem on Gaussian Sums
  • The lifting of an exponential sum to a cyclic algebraic number field of prime degree
  • On Gauss Sums (mod pn ), n ⩾ 2
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