The fourth moment of Dirichlet \(L\)-functions along the critical line

DOI10.1515/forum-2022-0309arXiv2004.00504MaRDI QIDQ6073707

Xiaosheng Wu

Publication date: 18 September 2023

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

Full work available at URL: https://arxiv.org/abs/2004.00504

zbMATH Keywords

divisor problemDirichlet \(L\)-functionfourth momentpower saving

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Cites Work

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• A short proof of Levinson's theorem
• The fourth moment of Dirichlet \(L\)-functions
• Moments of the Riemann zeta function
• A note on the mean value of L-series
• A quadratic divisor problem
• On the fourth power moment of the Riemann zeta-function
• The sixth power moment of Dirichlet \(L\)-functions
• The fourth moment of individual Dirichlet \(L\)-functions on the critical line
• A quadratic divisor problem and moments of the Riemann zeta-function
• Some applications of smooth bilinear forms with Kloosterman sums
• The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
• Bilinear forms with Kloosterman sums and applications
• The eighth moment of Dirichlet \(L\)-functions
• Algebraic trace functions over the primes
• Topics in multiplicative number theory
• Cancellations amongst Kloosterman sums
• On moments of twisted L-functions
• [https://portal.mardi4nfdi.de/wiki/Publication:3382241 The sixth moment of the Riemann zeta function and ternary additive divisor sums]
• The twisted fourth moment of the Riemann zeta function
• The Fourth Power Mean of Dirichlet's L-Functions
• The Fourth Power Moment of the Riemann Zeta Function
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Motohashi’s fourth moment identity for non-archimedean test functions and applications
• A note on the fourth moment of Dirichlet L-functions
• Integral moments of L-functions
• Random matrix theory and \(\zeta(1/2+it)\).
• The fourth moment of Dirichlet \(L\)-functions at the central value
• Bounds on bilinear forms with Kloosterman sums

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