Moments of automorphic \(L\)-functions in the strip \(\frac{1}{2}<\sigma <1\)

DOI10.1007/s11139-023-00730-4OpenAlexW4377941799MaRDI QIDQ6185618

Jia Yuan Hu, Zhen-Ping Li, Yahui Yu

Publication date: 8 January 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-023-00730-4

zbMATH Keywords

momentFourier coefficientsDirichlet polynomialsautomorphic \(L\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Trigonometric moment problems in one variable harmonic analysis (42A70)

Cites Work

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• Fractional moments of automorphic \(L\)-functions. II
• Fractional moments of automorphic \(L\)-functions on \(\mathrm{GL}(m)\)
• First moments of Fourier coefficients of \(\mathrm{GL}(r)\) cusp forms
• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• Zeros of principal \(L\)-functions and random matrix theory
• Moments of products of automorphic \(L\)-functions
• Zeta functions of simple algebras
• Integral moments of automorphic L-functions
• Explicit upper bounds for 𝐿-functions on the critical line
• Fractional Moments of the Riemann Zeta-Function
• A conjecture for the sixth power moment of the Riemann zeta-function
• Hilbert's Inequality
• Integral moments of L-functions

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