Theta functions for Jordan algebras

DOI10.1007/BF01389866zbMath0318.32035MaRDI QIDQ1222276

Howard L. Resnikoff

Publication date: 1975

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142356

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Structure theory for Jordan algebras (17C10) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Automorphic functions in symmetric domains (32N15)

Related Items (4)

Theta functions on tube domains ⋮ Automorphic forms of singular weight are singular forms ⋮ On the structure of a graded ring of automorphic forms on the 2- dimensional complex ball ⋮ Theta functions for the special, formally real Jordan algebras. (A remark on a paper of H. L. Resnikoff)

Cites Work

• Automorphic forms of singular weight are singular forms
• Holomorphe Differentialformen zu Kongruenzgruppen der Siegelschen Modulgruppe zweiten Grades
• Zur Koecherschen Reduktionstheorie in Positivitätsbereichen. I-III
• Lectures on Riemann matrices
• Hermitian modular functions
• Lectures on Fourier Integrals. (AM-42)
• Über Dirichlet-Reihen mit Funktionalgleichung.
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