Higher power moments of symmetric square \(L\)-function

DOI10.1016/j.jnt.2022.06.002OpenAlexW4288069817WikidataQ114156452 ScholiaQ114156452MaRDI QIDQ2109415

Jing Huang, Deyu Zhang, Zhai, Wenguang

Publication date: 21 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2022.06.002

zbMATH Keywords

symmetric square \(L\)-functionpower momentszero-density

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)

Uses Software

• GL(n)pack

Cites Work

• Uniform estimates for sums of coefficients of symmetric square \(L\)-function
• A new zero-density result of \(L\)-functions attached to Maass forms
• Coefficients of symmetric square \(L\)-functions
• Zero density for automorphic \(L\)-functions
• A zero-density theorem for the Riemann zeta-function
• Additive twists of Fourier coefficients of modular forms
• Divisor problems related to Hecke eigenvalues in three dimensions
• Power moments of automorphic \(L\)-functions related to Maass forms for \(\mathrm{SL}_3 (\mathbb{Z})\)
• Power moments of automorphic L-function attached to Maass forms
• Zero-density estimate of L-functions attached to Maass forms
• The Voronoi Formula for GL(n, R)
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Strong Subconvexity for Self-Dual GL(3) L-Functions
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