On Shimura's correspondence

DOI10.1215/S0012-7094-87-05533-5zbMath0631.10015OpenAlexW2084425420MaRDI QIDQ1094442

Jeffrey Hoffstein, Daniel Bump

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05533-5

zbMATH Keywords

automorphic formgeneralized Shimura correspondence for GL(2)L- functionmetaplectic theta functionunramified places

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta functions and (L)-functions of number fields (11R42)

Related Items (10)

On the metaplectic analog of Kazhdan's ``endoscopic lifting ⋮ Distinguished theta representations for certain covering groups ⋮ Generalized Bump-Hoffstein conjecture for coverings of the general linear groups ⋮ Metaplectic theta functions and global integrals ⋮ Generating functions on covering groups ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Computation of Maass waveforms with nontrivial multiplier systems ⋮ On the Shimura correspondence for \(GSp(4)\) ⋮ A Rankin-Selberg integral for the adjoint \(L\)-function of \(\text{Sp}_ 4\) ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2

Cites Work

• Metaplectic forms
• Some Euler products associated with cubic metaplectic forms on GL(3)
• Automorphic forms on covering groups of GL(2)
• Automorphic forms on \(GL(3)\). I, II
• Towards a generalized Shimura correspondence
• On modular forms of half integral weight
• Rankin-Selberg Convolutions
• A Global Approach to the Rankin-Selberg Convolution for GL(3, Z)
• On Euler Products and the Classification of Automorphic Representations I
• On Euler Products and the Classification of Automorphic Forms II
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
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