An Eichler-Zagier map for Jacobi cusp forms on \(\mathcal{H} \times \mathbb{C}^{(g, 1)}\)

DOI10.1016/J.JNT.2018.07.004zbMath1446.11089OpenAlexW2888332274MaRDI QIDQ1788105

Karam Deo Shankhadhar, Murugesan Manickam

Publication date: 8 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.07.004

zbMATH Keywords

Jacobi formsmodular formsnewformsEichler-Zagier map

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Jacobi forms (11F50)

Cites Work

• Unnamed Item
• The theory of Jacobi forms
• Fourier coefficients and modular forms of half-integral weight
• Jacobi forms of higher degree
• Heegner points and derivatives of \(L\)-series. II
• Jacobi forms and a certain space of modular forms
• On the non-vanishing of Jacobi Poincaré series
• Lifting maps from a vector space of Jacobi cusp forms to a subspace of elliptic modular forms
• On modular forms of half integral weight
• NONVANISHING OF JACOBI POINCARÉ SERIES
• ON A CORRESPONDENCE BETWEEN JACOBI CUSP FORMS AND ELLIPTIC CUSP FORMS
• On Shimura, Shintani and Eichler-Zagier correspondences
• On the non-vanishing of Poincaré series
• Estimates for Fourier coefficients of Siegel cusp forms

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