Holomorphic Siegel modular forms associated to \(SO(n,1)\)

DOI10.1007/BF01450546zbMath0465.10020MaRDI QIDQ1154496

Stephen S. Kudla

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/163531

zbMATH Keywords

holomorphic Siegel modular formindefinite quadratic formsHecke's constructionintegral of non-holomorphic theta-series

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27)

Related Items (6)

The theta correspondence and harmonic forms. I ⋮ Unnamed Item ⋮ Harmonic Maass forms associated to real quadratic fields ⋮ Siegel theta series for quadratic forms of signature \((m - 1, 1)\) ⋮ On some incomplete theta integrals ⋮ On the first Betti number of a hyperbolic manifold with an arithmetic fundamental group

Cites Work

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• On the Segal-Shale-Weil representations and harmonic polynomials
• Holomorphic discrete series for the real symplectic group
• Indefinite quadratische Formen und Funktionentheorie. I
• On construction of holomorphic cusp forms of half integral weight
• BEHAVIOR OF THETA SERIES OF DEGREE $ N$ UNDER MODULAR SUBSTITUTIONS

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