Twisted moments of GL(3) ×GL(2) L-functions

DOI10.1142/S179304212250066XzbMath1499.11207arXiv2202.01911OpenAlexW4200019538WikidataQ114071831 ScholiaQ114071831MaRDI QIDQ5865464

Jakob Streipel

Publication date: 9 June 2022

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

Full work available at URL: https://arxiv.org/abs/2202.01911

zbMATH Keywords

moments of \(L\)-functionscentral values of \(L\)-functions

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determination of \(\text{GL}(3)\) cusp forms by central values of \(\text{GL}(3)\times \text{GL}(2)\, L\)-functions, level aspect
• Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
• Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
• The central value of the Rankin-Selberg \(L\)-functions
• The cubic moment of central values of automorphic \(L\)-functions
• On effective determination of symmetric-square lifts
• On effective determination of symmetric-square lifts, level aspect
• Determination of GL(3) Cusp Forms by Central Values of GL(3) x GL(2) L-functions
• Non-vanishing of derivatives of 𝐺𝐿(3)×𝐺𝐿(2) 𝐿-functions
• A new bound K2/3+  for Rankin-Selberg L-functions for Hecke congruence subgroups
• Non-vanishing of the first derivative of GL(3) ×GL(2) L-functions
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity