Subconvexity bounds for Rankin-Selberg \(L\)-functions for congruence subgroups

DOI10.1016/j.jnt.2006.02.006zbMath1149.11024OpenAlexW2038082018MaRDI QIDQ863288

Yuk-Kam Lau, Yangbo Ye, Liu, Jianya

Publication date: 26 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.02.006

zbMATH Keywords

Rankin-Selberg \(L\)-functionssubconvex estimates

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms, one variable (11F12)

Related Items (8)

Recent progress on the quantum unique ergodicity conjecture ⋮ Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ Double square moments and subconvexity bounds for Rankin-Selberg \(L\)-functions of holomorphic cusp forms ⋮ Hybrid bounds for twisted L-functions ⋮ The fourth power moment of automorphic $L$-functions for $GL(2)$ over a short interval ⋮ On the random wave conjecture for dihedral Maaß forms ⋮ Subconvexity bounds for automorphicL-functions

Cites Work

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• Cusp forms and eigenfunctions of the Laplacian
• Kloosterman sums and Fourier coefficients of cusp forms
• Analytic continuation of representations and estimates of automorphic forms
• Subconvexity for Rankin-Selberg \(L\)-functions of Maass forms.
• Holomorphic extensions of representations. I: Automorphic functions
• Rankin-Selberg \(L\)-functions on the critical line
• Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity

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