On a convolution series attached to a Siegel Hecke cusp form of degree 2

DOI10.1007/S11139-013-9495-XzbMath1315.11031arXiv1306.4163OpenAlexW2081603897MaRDI QIDQ744840

Winfried Kohnen, Jyoti Sengupta, Soumya Das

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4163

zbMATH Keywords

eigenvaluesSiegel modular formsRankin-Selberg convolution

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (6)

Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two ⋮ Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two. With an appendix by E. Kowalski and A. Saha. ⋮ The average order of Hecke eigenvalues of Siegel cusp forms of genus 2 ⋮ Large Hecke eigenvalues and an omega result for non-Saito-Kurokawa lifts ⋮ Ramanujan–Petersson conjecture for Fourier–Jacobi coefficients of Siegel cusp forms ⋮ Sign changes of coefficients of certain Dirichlet series

Cites Work

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• Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
• Transfer of Siegel cusp forms of degree 2
• A Note on Eigenvalues of Hecke Operators on Siegel Modular Forms of Degree Two
• EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
• The first negative Hecke eigenvalue of a Siegel cusp form of genus two
• Non-vanishing of \(L\)-functions and applications

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