A Standard Zero Free Region for Rankin–Selberg L-Functions

DOI10.1093/imrn/rnx087zbMath1440.11080arXiv1606.00330OpenAlexW2963857182MaRDI QIDQ5233808

Xiaoqing Li, Dorian Goldfeld

Publication date: 9 September 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00330

zbMATH Keywords

Rankin-Selberg \(L\)-functionstempered Maass form

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (8)

Towards a 𝐺𝐿_{𝑛} variant of the Hoheisel phenomenon ⋮ Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey ⋮ Divisor-bounded multiplicative functions in short intervals ⋮ Explicit formulas for the spectral side of the trace formula of ${\rm SL(2)}$ ⋮ Large values of Hecke–Maass L-functions with prescribed argument ⋮ Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory ⋮ An orthogonality relation for (with an appendix by Bingrong Huang) ⋮ A note on standard zero-free regions for Rankin–Selberg $L$-functions

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