Modular descent of Siegel modular forms of half integral weight and an analogy of the Maass relation

DOI10.1017/S0027763000000428zbMath0564.10031MaRDI QIDQ3677821

Yoshio Tanigawa

Publication date: 1986

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

zbMATH Keywords

Siegel modular formDirichlet seriesHecke operatorshalf integral weightJacobi formMaass relation

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) 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)

On the Fourier expansions of Jacobi forms of half-integral weight ⋮ A generalization of Kohnen's estimates for Fourier coefficients of Siegel cusp forms ⋮ \(L\)-functions associated to Jacobi forms of half-integral weight and a converse theorem ⋮ Determining Siegel modular forms of half-integral weight by their fundamental Fourier coefficients ⋮ On degree 2 Siegel cusp forms and its Fourier coefficients ⋮ A certain relation between Jacobi forms of half integral weights and Siegel modular forms of integral weight

Cites Work

• Modular descent and the Saito-Kurokawa conjecture
• Über eine Spezialschar von Modulformen zweiten Grades. (On a Spezialschar of modular forms of second degree.)
• Über eine Spezialschar von Modulformen zweiten Grades. II, III. (On a Spezialschar of modular forms of second degree. II, III)
• On modular forms of half integral weight
• A note on local densities of quadratic forms

This page was built for publication: Modular descent of Siegel modular forms of half integral weight and an analogy of the Maass relation