Class numbers, Jacobi forms and Siegel-Eisenstein series of weight 2 on \(\text{Sp}_ 2(\mathbb{Z})\)

DOI10.1007/BF03025710zbMath0797.11050OpenAlexW2092145785MaRDI QIDQ1319343

Winfried Kohnen

Publication date: 20 October 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174518

zbMATH Keywords

Fourier expansionJacobi formsSiegel-Eisenstein seriesFourier-Jacobi expansionSiegel modular formsreal analytic Eisenstein series

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Jacobi forms (11F50)

Related Items

Note on Siegel-Eisenstein series of low weight, Explicit formulae of Siegel Eisenstein series, Dirichlet series associated with square of class numbers of binary quadratic forms, Siegel Eisenstein series of level two and its applications, Correspondence among Eisenstein series of weight 2, On Fourier-Jacobi expansions of real analytic Eisenstein series of degree 2, A note on the Siegel-Eisenstein series of weight 2 on \(Sp_ 2(\mathbb{Z})\), Black holes and Bhargava’s invariant theory

Cites Work

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• Confluent hypergeometric functions on tube domains
• On the functional equations satisfied by Eisenstein series
• Non-holomorphic Poincaré-type series on Jacobi groups