Subconvexity for Rankin-Selberg \(L\)-functions of Maass forms.

DOI10.1007/s00039-002-1296-0zbMath1066.11020OpenAlexW2130267689MaRDI QIDQ1811215

Yangbo Ye, Liu, Jianya

Publication date: 14 October 2003

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-002-1296-0

zbMATH Keywords

Rankin-Selberg \(L\)-functionsubconvexityMaass form

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (16)

Quantum variance for dihedral Maass forms ⋮ Rankin-Selberg periods for spherical principal series ⋮ Subconvexity bounds for Rankin-Selberg \(L\)-functions for congruence subgroups ⋮ Exponential sums twisted by Fourier coefficients of automorphic cusp forms for SL(2, ℤ) ⋮ Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms ⋮ Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\) ⋮ The subconvexity problem for \(\mathrm{GL}_2\) ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ Resonance between automorphic forms and exponential functions ⋮ Double square moments and subconvexity bounds for Rankin-Selberg \(L\)-functions of holomorphic cusp forms ⋮ Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase ⋮ Sup-norm and nodal domains of dihedral Maass forms ⋮ Rankin-Selberg \(L\)-functions on the critical line ⋮ The fourth power moment of automorphic $L$-functions for $GL(2)$ over a short interval ⋮ Further improvement on bounds for L-functions related to GL(3) ⋮ On the random wave conjecture for dihedral Maaß forms

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