A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting

DOI10.1016/J.JNT.2007.07.006zbMath1221.11123OpenAlexW2150412200MaRDI QIDQ958708

Hisa-Aki Kawamura, Hidenori Katsurada

Publication date: 8 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.07.006

zbMATH Keywords

Jacobi formsSiegel modular formsperiods

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) Jacobi forms (11F50)

Related Items (7)

A note on mass equidistribution of holomorphic Siegel modular forms ⋮ Ikeda's conjecture on the period of the Duke–Imamoḡlu–Ikeda lift ⋮ Miyawaki's \(F_{12}\) spinor \(L\)-function conjecture ⋮ Additive twists of \(L^2\)-norm of Fourier-Jacobi coefficients of Siegel cusp forms ⋮ RANKIN-SELBERG METHOD FOR JACOBI FORMS OF INTEGRAL WEIGHT AND OF HALF-INTEGRAL WEIGHT ON SYMPLECTIC GROUPS ⋮ A CERTAIN DIRICHLET SERIES OF RANKIN–SELBERG TYPE ASSOCIATED WITH THE IKEDA LIFT OF HALF‐INTEGRAL WEIGHT ⋮ Ramanujan–Petersson conjecture for Fourier–Jacobi coefficients of Siegel cusp forms

Cites Work

• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• The theory of Jacobi forms
• Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
• A certain Dirichlet series attached to Siegel modular forms of degree two
• Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen
• Rankin-Selberg method for Siegel cusp forms
• An Explicit Formula for Siegel Series
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)
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