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

DOI10.1007/s00209-020-02610-9zbMath1473.11165arXiv1909.11517OpenAlexW3088281716MaRDI QIDQ2031728

Berke Topacogullari

Publication date: 10 June 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11517

zbMATH Keywords

Dedekind zeta functionsDirichlet \(L\)-functionsmoments of \(L\)-functions

Mathematics Subject Classification ID

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

Related Items (5)

Moments of the Hurwitz zeta function on the critical line ⋮ The fourth moment of Dirichlet \(L\)-functions along the critical line ⋮ Triple correlations of ternary divisor functions. II ⋮ Mean square values of Dirichlet \(L\)-functions associated to fixed order characters ⋮ Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications

Cites Work

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• The fourth moment of Dirichlet \(L\)-functions
• A note on the mean value of L-series
• Kloosterman sums and Fourier coefficients of cusp forms
• Lectures on a method in the theory of exponential sums
• Lectures on mean values of the Riemann zeta function
• A mean value theorem for the Dedekind zeta-function of a quadratic number field
• The subconvexity problem for Artin \(L\)-functions
• Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field
• On the fourth power moment of the Riemann zeta-function
• Moments of products of automorphic \(L\)-functions
• Kloosterman sums in residue classes
• Some applications of smooth bilinear forms with Kloosterman sums
• A note on the mean value of the Dedekind zeta-function of the quadratic field
• THE SHIFTED CONVOLUTION OF DIVISOR FUNCTIONS
• On moments of twisted L-functions
• A Burgess-like subconvex bound for twisted L-functions
• The mean square of the Dedekind zeta function in quadratic number fields
• The Fourth Power Mean of Dirichlet's L-Functions
• The exceptional set of Goldbach's problem
• HYBRID BOUNDS FOR DIRICHLET L-FUNCTIONS II
• The Fourth Power Moment of the Riemann Zeta Function
• The Mean Square of the Error Term for the Fourth Power Moment of the Zeta-Function
• Evaluating prime power Gauss and Jacobi sums
• On a certain additive divisor problem
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms
• Motohashi’s fourth moment identity for non-archimedean test functions and applications
• Mollification of the fourth moment of Dirichlet $L$-functions
• A note on the fourth moment of Dirichlet L-functions
• Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method

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