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The dimension of the space of cusp forms on the Siegel upper half plane of degree two related to a quaternion unitary group

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Publication:1151425
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DOI10.2969/jmsj/03310125zbMath0458.10023OpenAlexW2063455285MaRDI QIDQ1151425

Tsuneo Arakawa

Publication date: 1981

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03310125

zbMATH Keywords

Selberg trace formulaquaternion unitary groupdimension of space of cusp formsSiegel upper half plane


Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)


Related Items

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, An explicit dimension formula for Siegel cusp forms with respect to the non-split symplectic groups, The dimension of the spaces of cusp forms on Siegel upper half plane of degree two. II: The \(\mathbb Q\)-rank one case, Hyperbolic D -Planes, Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem



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