Integral moments of automorphic L-functions

DOI10.1017/S1474748008000285zbMath1268.11065arXivmath/0612428MaRDI QIDQ3616460

Adrian-Viorel Diaconu, Paul B. Garrett

Publication date: 25 March 2009

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612428

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) Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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An exact formula relating lattice points in symmetric spaces to the automorphic spectrum ⋮ A spectral identity for second moments of Eisenstein series of \(\mathrm{O}(n,1)\) ⋮ A strengthening of the GL(2) converse theorem ⋮ Automorphic spectral identities and applications to automorphic \(L\)-functions on \(\mathrm{GL}_2\) ⋮ Subconvexity bounds for automorphicL-functions

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