Near holomorphy of some automorphic forms at critical points

DOI10.1007/BF01233431zbMath0708.11028MaRDI QIDQ920138

Antonia Wilson Bluher

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/143838

zbMATH Keywords

integral representationEisenstein seriestheta seriesmeromorphic continuationreal analyticityHilbert modular formnear holomorphy

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Unnamed Item
• On differential operators attached to certain representations of classical groups
• On Eisenstein series of half-integral weight
• On a class of nearly holomorphic automorhic forms
• On the Eisenstein series of Hilbert modular groups
• Nearly holomorphic functions on Hermitian symmetric spaces
• On Hilbert modular forms of half-integral weight
• On the critical values of certain Dirichlet series and the periods of automorphic forms
• The arithmetic of certain zeta functions and automorphic forms on orthogonal groups
• On certain zeta functions attached to two Hilbert modular forms. I: The case of Hecke characters
• The special values of the zeta functions associated with Hilbert modular forms
• Algebraic Relations Between Critical Values of Zeta Functions and Inner Products
• The special values of the zeta functions associated with cusp forms

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