Eisenstein series on quaternion half-space

DOI10.1007/BF02567748zbMath0759.11018MaRDI QIDQ1201423

Henry H. Kim

Publication date: 17 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155741

zbMATH Keywords

functional equationSiegel-Eisenstein seriesmeromorphic continuationconfluent hypergeometric functionEpstein zeta functionsingular seriesnon-analytic Eisenstein seriesquaternion half-space

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Other groups and their modular and automorphic forms (several variables) (11F55)

Cites Work

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• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• Modular forms on half-spaces of quaternions
• Eisenstein series on real, complex, and quaternionic half-spaces
• Confluent hypergeometric functions on tube domains
• An exceptional arithmetic group and its Eisenstein series
• Arithmetic of alternating forms and quaternion hermitian forms
• Zur Zahlentheorie der Quaternionen-Algebren.
• Fourier coefficients of certain Eisenstein series

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