Nonvanishing of Koecher-Maass series attached to Siegel cusp forms

DOI10.1016/j.aim.2015.05.007zbMath1328.11047OpenAlexW1959177535MaRDI QIDQ2354376

Winfried Kohnen, Soumya Das

Publication date: 13 July 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2015.05.007

zbMATH Keywords

Siegel modular formsKoecher Maass series

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Related Items (9)

On special Bessel periods and the Gross-Prasad conjecture for \(\mathrm {SO}(2n+1) \times \mathrm {SO}(2)\) ⋮ On quotients of derivatives of \(L\)-functions inside the critical strip ⋮ Jacobi forms, Saito-Kurokawa lifts, their pullbacks and sup-norms on average ⋮ Non-vanishing of products of Fourier coefficients of modular forms of half-integral weight ⋮ Non-vanishing of $L$-functions of Hilbert modular forms inside the critical strip ⋮ On Hecke \(L\)-functions attached to half-integral weight modular forms ⋮ Non-vanishing of Koecher-Maass series attached to Siegel cusp forms on the real line ⋮ A study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel ⋮ Simultaneous nonvanishing of products of \(L\)-functions associated to elliptic cusp forms

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