Power moments of automorphic L-function attached to Maass forms

DOI10.1142/S1793042116500251zbMath1335.11031MaRDI QIDQ2789373

Deyu Zhang, Huafeng Liu, Shuai Li

Publication date: 29 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionsautomorphic formsmodular groupMaass formspower moments

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items

Power moments of automorphic \(L\)-functions related to Maass forms for \(\mathrm{SL}_3 (\mathbb{Z})\) ⋮ The third-power moment of the Riesz mean error term of symmetric square \(L\)-function ⋮ On a Diophantine equation with prime variables ⋮ Notes on general divisor problems related to Maass cusp forms ⋮ Higher moments of automorphic \(L\)-functions of \(GL(r)\) and its applications ⋮ Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform ⋮ Higher power moments of symmetric square \(L\)-function

Cites Work

• Lectures on a method in the theory of exponential sums
• On averages of Fourier coefficients of Maass cusp forms
• Sums of coefficients of Hecke series
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