On singular modular forms for principal congruence subgroups

DOI10.1007/s00209-005-0911-9zbMath1148.11022OpenAlexW2044884761MaRDI QIDQ851006

Francesco Ludovico Chiera

Publication date: 9 November 2006

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

Full work available at URL: https://doi.org/10.1007/s00209-005-0911-9

zbMATH Keywords

theta seriesSiegel modular formstrace operatorprincipal congruence subgroup

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Forms over real fields (11E10)

Cites Work

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• Stabile Modulformen und Eisensteinreihen. (Stable modular forms and Eisenstein series)
• Über die Darstellung singulärer Modulformen halbzahligen Gewichts durch Thetareihen. (On the representation of singular modular forms of half-integral weight by theta series)
• Thetareihen mit harmonischen Koeffizienten zur Siegelschen Modulgruppe
• Die Wirkung von Heckeoperatoren auf Thetareihen mit harmonischen Koeffizienten
• Singular modular forms and theta relations
• Automorphic forms of singular weight are singular forms
• Holomorphe Differentialformen zu Kongruenzgruppen der Siegelschen Modulgruppe
• Die Invarianz gewisser von Thetareihen erzeugter Vektorräume unter Heckeoperatoren
• Trace operator and theta series
• Theta series and trace operators for \(\Gamma_n [ q\)]
• Zur Theorie der Siegelschen Modulgruppe
• Vektorwertige Siegelsche Modulformen kleinen Gewichtes.

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