Moments of the products of quadratic twists of automorphic \(L\)-functions

DOI10.1007/s00229-016-0823-5zbMath1404.11066OpenAlexW2269445300MaRDI QIDQ309288

Keiju Sono

Publication date: 7 September 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-016-0823-5

zbMATH Keywords

moments\(L\)-functionscentral valuesfundamental discriminants

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (1)

The second moment of quadratic Dirichlet \(L\)-functions

Cites Work

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• Moments of the Riemann zeta function
• Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• Lectures on mean values of the Riemann zeta function
• On Selberg's eigenvalue conjecture
• Lower bounds for the moments of the derivatives of the Riemann zeta-function and Dirichlet \(L\)-functions
• Moments of products of automorphic \(L\)-functions
• Upper bounds for the moments of derivatives of Dirichlet \(L\)-functions
• The 4.36th Moment of the Riemann Zeta-Function
• Explicit upper bounds for 𝐿-functions on the critical line
• CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA ANDL‐FUNCTIONS
• Integral moments of L-functions

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