Moments and equidistributions of multiplicative analogues of Kloosterman sums

DOI10.4064/aa211223-10-11OpenAlexW4312570404MaRDI QIDQ5058643

Ping Xi

Publication date: 21 December 2022

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

Full work available at URL: https://arxiv.org/abs/2105.15051

zbMATH Keywords

momentequidistributioncharacter sumKloosterman sumarcsine lawDirichlet-function

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) (zeta (s)) and (L(s, chi)) (11M06) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Estimates on character sums (11L40)

Cites Work

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• Fourier transformat, constants of the functional equations and Weil conjecture
• La conjecture de Weil. II
• Distribution laws of divisors of friable integers
• Higher order moments of generalized quadratic Gauss sums weighted by \(L\)-functions
• An explicit evaluation of \(10^{\text{th}} \)-power moment of quadratic Gauss sums and some applications
• Algebraic twists of modular forms and Hecke orbits
• Algebraic trace functions over the primes
• On the distribution of prime divisors
• The reciprocity law for the twisted second moment of Dirichlet L-functions
• On the DDT theorem
• Lois de répartition des diviseurs, 2
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)
• Lois de répartition des diviseurs, 1
• Sur les processus arithmétiques liés aux diviseurs
• The Selberg–Delange method in short intervals with an application
• On Some Exponential Sums
• Moments of generalized quadratic Gauss sums weighted by \(L\)-functions