Eisenstein series on quaternion half-space of degree 2

DOI10.3792/pjaa.68.101zbMath0759.11019OpenAlexW2026236982MaRDI QIDQ1201490

Shoyu Nagaoka

Publication date: 17 January 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.101

zbMATH Keywords

Fourier expansionfunctional equationEisenstein seriesSiegel-Eisenstein seriesmeromorphic continuationquaternion half-space

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55)

Cites Work

• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• An explicit formula for Siegel series
• On Eisenstein series
• Modular forms on half-spaces of quaternions
• Confluent hypergeometric functions on tube domains
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• The elementary divisor theory over the Hurwitz order of integral quaternions
• The Maaß space and Hecke operators

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