scientific article; zbMATH DE number 1341791

zbMath1001.11019MaRDI QIDQ4263338

Bernhard E. Heim

Publication date: 17 December 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

automorphic \(L\)-functionsSiegel modular formsEuler productRankin-Selberg integralpullbacks of Eisenstein serieselliptic modular formdiagonal-restricted Eisenstein seriesHecke-Jacobi algebratwisted spinor \(L\)-function

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) 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) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (14)

An inner product relation on Saito-Kurokawa lifts ⋮ Certain series attached to an even number of elliptic modular forms ⋮ Cuspidality of pullbacks of Siegel-Hilbert Eisenstein series on Hermitian symmetric domains ⋮ \(\mathrm{GL}_2\times \mathrm{GSp}_2\) \(L\)-values and Hecke eigenvalue congruences ⋮ Hecke duality of Ikeda lifts ⋮ On Poincaré series and restriction mappings ⋮ A Dirichlet series attached to three Siegel modular forms ⋮ Maass Spezialschar of level \(N\) ⋮ The Maaß space and Hecke operators ⋮ On the modularity of the \(\text{GL}_2\)-twisted spinor \(L\)-function ⋮ Pullback of Klingen Eisenstein series and certain critical L-values identities ⋮ Kurokawa-Mizumoto congruences and degree-8 \(L\)-values ⋮ Pullbacks of Saito-Kurokawa lifts ⋮ Pullbacks of Hermitian Maass lifts

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