The dimension of the spaces of cusp forms on Siegel upper half plane of degree two. II: The \(\mathbb Q\)-rank one case

DOI10.1007/BF01458546zbMath0528.10020MaRDI QIDQ786844

Ki-ichiro Hashimoto

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/163875

zbMATH Keywords

conjugacy classesdimension formulaSiegel modular formsHasse principlespace of cusp formsdegree twoquaternion unitary group

Mathematics Subject Classification ID

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

Related Items (5)

ON THE GRADED RING OF SIEGEL MODULAR FORMS OF DEGREE TWO WITH RESPECT TO A NON-SPLIT SYMPLECTIC GROUP ⋮ Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two ⋮ Zur Berechnung des Ranges der Schar der elliptischen Spitzenformen. (On the calculation of the dimension of the vector space of elliptic cusp forms) ⋮ An explicit dimension formula for Siegel cusp forms with respect to the non-split symplectic groups ⋮ Hyperbolic D -Planes

Cites Work

• The dimension of the space of cusp forms on the Siegel upper half plane of degree two related to a quaternion unitary group
• On symplectic Euler factors of genus two
• The conjugacy classes in the unitary, symplectic and orthogonal groups over an algebraic number field
• On certain arithmetical Dirichlet series
• On zeta functions of quaternion algebras
• Arithmetic of alternating forms and quaternion hermitian forms
• Zur Zahlentheorie der Quaternionen-Algebren.
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