Dimensions of cusp forms for \(\Gamma_0(p)\) in degree two and small weights

DOI10.1007/BF03173489zbMath1214.11059MaRDI QIDQ2479804

David S. Yuen, Cris Poor

Publication date: 3 April 2008

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

dimension formulaSiegel modular formsYoshida liftsWitt operator

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (12)

Codimensions of the spaces of cusp forms for Siegel congruence subgroups in degree two ⋮ Yoshida lifts and Selmer groups ⋮ Sign changes of Fourier coefficients of Siegel cusp forms of degree two on Hecke congruence subgroups ⋮ Using Katsurada’s determination of the Eisenstein series to compute Siegel eigenforms ⋮ Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms ⋮ Siegel modular forms of degree two and level five ⋮ Surjectivity of Siegel \(\Phi\)-operator for square free level and small weight ⋮ A vanishing theorem for Siegel modular forms of weight one ⋮ Paramodular cusp forms ⋮ Some congruences for Saito-Kurokawa lifts ⋮ On level \(p\) Siegel cusp forms of degree two ⋮ Paramodular forms of level 8 and weights 10 and 12

Cites Work

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• Linear dependence among Siegel modular forms
• A vanishing theorem for Siegel modular forms of weight one
• The extreme core
• Siegel modular forms and theta series attached to quaternion algebras
• THE BERGÉ–MARTINET CONSTANT AND SLOPES OF SIEGEL CUSP FORMS
• Newforms of half-integral weight.
• Computations of Siegel Modular Forms of Genus Two
• Siegel modular forms and theta series attached to quaternion algebras II
• Restriction of Siegel modular forms to modular curves
• ON SIEGEL MODULAR VARIETIES OF LEVEL 3

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