Zeros of the critical line of Dirichlet series associated with Hilbert modular forms

DOI10.1007/BF01084847zbMath0476.10026MaRDI QIDQ1160220

V. G. Zhuravlev

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hilbert modular formsDirichlet seriestheta-serieszeros on the critical linequadratic forms over real quadratic fieldszeros of associated Eisenstein series

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

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• Poincarésche und Eisensteinsche Reihen zur Hilbertschen Modulgruppe
• On the Fourier coefficients of Hilbert-Siegel modular forms
• On discontinuous groups operating on the product of the upper half planes
• Über Hilbertsche Modulfunktionen und die Dirichletschen Reihen mit Eulerschen Produktenentwicklung
• Über die Darstellung der ganzen Spitzenformen zu den Idealstufen der Hilbertschen Modulgruppe und die Abschätzung ihrer Fourierkoeffizienten
• Konstruktion ganzer Modulformen halbzahliger Dimension mit \(\vartheta\)- Multiplikatoren in zwei Variablen. (Construction of entire modular forms of half-numbered dimension with \(\vartheta\)-multiplicators in two variables)

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