Non-holomorphic Poincaré-type series on Jacobi groups

DOI10.1006/jnth.1994.1005zbMath0806.11023OpenAlexW2094492116MaRDI QIDQ1320510

Winfried Kohnen

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1006/jnth.1994.1005

zbMATH Keywords

functional equationJacobi formsPoincaré seriesmeromorphic continuationreal-analytic Jacobi formsnon-holomorphic Eisenstein seriesnon-analytic Siegel-Eisenstein seriesgeneralized Mellin transform

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) Other groups and their modular and automorphic forms (several variables) (11F55) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (9)

\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1 ⋮ On the uniform convergence of Poincaré series of exponential type on Jacobi groups ⋮ Correspondence among Eisenstein series of weight 2 ⋮ Kohnen's limit process for real-analytic Siegel modular forms ⋮ \(L\)-functions for Jacobi forms of arbitrary degree ⋮ On Fourier-Jacobi expansions of real analytic Eisenstein series of degree 2 ⋮ The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms ⋮ Functional equations of real analytic Jacobi Eisenstein series ⋮ Class numbers, Jacobi forms and Siegel-Eisenstein series of weight 2 on \(\text{Sp}_ 2(\mathbb{Z})\)

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