A subconvex bound for twisted \(L\)-functions

DOI10.7169/facm/1940zbMath1486.11070arXiv2005.08185OpenAlexW3207837799MaRDI QIDQ2075020

Hui Wang, Qing Feng Sun

Publication date: 11 February 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08185

zbMATH Keywords

\(L\)-functionssubconvexityDirichlet charactersHecke cusp forms

Mathematics Subject Classification ID

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

Cites Work

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• Bounds for automorphic \(L\)-functions
• The subconvexity problem for Artin \(L\)-functions
• The cubic moment of central values of automorphic \(L\)-functions
• \(L^ \infty\) norms of eigenfunctions of arithmetic surfaces
• Rankin-Selberg \(L\)-functions in the level aspect.
• The Burgess bound via a trivial delta method
• The Weyl bound for Dirichlet \(L\)-functions of cube-free conductor
• On the subconvexity problem for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions
• Level aspect subconvexity for twisted \(L\)-functions
• Algebraic twists of modular forms and Hecke orbits
• Twisted moments of \(L\)-functions and spectral reciprocity
• A Burgess-like subconvex bound for twisted L-functions
• Hybrid bounds for twisted L-functions
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions

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