Fractional moments of automorphic \(L\)-functions on \(\mathrm{GL}(m)\)

DOI10.1007/s11401-011-0650-7zbMath1297.11044OpenAlexW2060614931MaRDI QIDQ741444

Qinghua Pi

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0650-7

zbMATH Keywords

automorphic \(L\)-functionsfractional momentsGRC

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

Higher integral moments of automorphic \(L\)-functions in short intervals ⋮ Moments of automorphic \(L\)-functions in the strip \(\frac{1}{2}<\sigma <1\) ⋮ Moments of products of automorphic \(L\)-functions ⋮ Moments of \(L\)-functions attached to the twist of modular form by Dirichlet characters

Cites Work

• Moments of the Riemann zeta function
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• On fractional moments of Dirichlet \(L\)-functions
• On fractional power moments of \(L\)-functions associated with certain cusp forms
• On fractional power moments of zeta-functions associated with certain cusp forms
• La conjecture de Weil. I
• Zeros of principal \(L\)-functions and random matrix theory
• Fractional Moments of the Riemann Zeta-Function
• The square mean of Dirichlet series associated with cusp forms
• FRACTIONAL MOMENTS OF THE RIEMANN ZETA-FUNCTION, II
• Hilbert's Inequality
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
• Selberg's orthogonality conjecture for automorphic L -functions

This page was built for publication: Fractional moments of automorphic \(L\)-functions on \(\mathrm{GL}(m)\)