A twisted Motohashi formula and Weyl-subconvexity for \(L\)-functions of weight two cusp forms

DOI10.1007/s00208-014-1166-8zbMath1331.11035arXiv1409.3524OpenAlexW1995998408MaRDI QIDQ500252

Ian N. Petrow

Publication date: 1 October 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3524

zbMATH Keywords

moments of \(L\)-functionscentral values of \(L\)-functionsWeyl-subconvexity

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Related Items (11)

Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets ⋮ Parametrization of Kloosterman sets and \(\mathrm{SL}_3\)-Kloosterman sums ⋮ LEVEL RECIPROCITY IN THE TWISTED SECOND MOMENT OF RANKIN–SELBERG ‐FUNCTIONS ⋮ The fifth moment of modular \(L\)-functions ⋮ An explicit formula for the second moment of Maass form symmetric square \(L\)-functions ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound ⋮ Supnorm of modular forms of half-integral weight in the weight aspect ⋮ The Weyl bound for Dirichlet \(L\)-functions of cube-free conductor ⋮ A generalized cubic moment and the Petersson formula for newforms ⋮ The cubic moment of automorphic \(L\)-functions in the weight aspect ⋮ Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Addendum: ``Hybrid bounds for twisted \(L\)-functions
• Fourier coefficients and modular forms of half-integral weight
• Values of L-series of modular forms at the center of the critical strip
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• The cubic moment of central values of automorphic \(L\)-functions
• The subconvexity problem for \(\mathrm{GL}_2\)
• La conjecture de Weil. I
• Distribution of Maass of holomorphic cusp forms
• Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
• Hybrid bounds for twisted L-functions
• On general L-functions
• Integral moments of L-functions
• Low lying zeros of families of \(L\)-functions

This page was built for publication: A twisted Motohashi formula and Weyl-subconvexity for \(L\)-functions of weight two cusp forms