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On the distribution of cubic exponential sums

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Publication:3189522
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DOI10.1515/form.2011.167zbMath1307.11089arXiv1107.0197OpenAlexW2963861292MaRDI QIDQ3189522

Benoît Louvel

Publication date: 11 September 2014

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0197


zbMATH Keywords

exponential sumsSato-Tate lawcubic theta functionsmetaplectic forms


Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Sums over primes (11L20)


Related Items (1)

When Kloosterman sums meet Hecke eigenvalues



Cites Work

  • Automorphic forms on covering groups of GL(2)
  • The first moment of cubic exponential sums.
  • Sums of Kloosterman sums
  • Equidistribution of roots of a quadratic congruence to prime moduli
  • Sums of moduli of exponential sums
  • On the sign change of Kloosterman sums
  • Crible étrange et sommes de Kloosterman
  • A cubic analogue of the theta series.
  • The Asymptotic Distribution of Exponential Sums, I
  • Ein arithmetischer Satz über eine Matrizengruppe.
  • The large sieve inequality for algebraic number fields
  • On the distribution of the roots of polynomial congruences


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