Lower bounds for L -functions at the edge of the critical strip

DOI10.1353/ajm.2006.0024zbMath1142.11034OpenAlexW2129044062MaRDI QIDQ5480184

Stephen Gelbart, Erez M. Lapid

Publication date: 26 July 2006

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2006.0024

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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Hecke-Maass cusp forms on \(\operatorname{PGL}_n\) of large levels with non-vanishing \(L\)-values ⋮ Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey ⋮ Relative trace formulas for unitary hyperbolic spaces ⋮ Effective lower bounds for \(L(1,\chi)\) via Eisenstein series ⋮ Beyond the LSD method for the partial sums of multiplicative functions ⋮ The generalized doubling method: local theory ⋮ Periods of automorphic forms, poles of \(L\)-functions and functorial lifting ⋮ Explicit formulas for the spectral side of the trace formula of ${\rm SL(2)}$ ⋮ Large values of cusp forms on \(\mathrm{GL}_n\) ⋮ A refined Poisson summation formula for certain Braverman-Kazhdan spaces ⋮ Transfer of Siegel cusp forms of degree 2 ⋮ Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory ⋮ On sup-norm bounds. II: \(\mathrm{GL}(2)\) Eisenstein series ⋮ Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2)

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