On the arithmetic character of Fourier coefficients of modular forms

DOI10.1007/BF01470949zbMath0104.26502MaRDI QIDQ775088

Helmut Klingen

Publication date: 1962

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/160961

zbMATH Keywords

Eisenstein seriesFourier coefficientsrationalityDedekind zeta-functionentire modular formsray class

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Zeta functions and (L)-functions of number fields (11R42)

Related Items (10)

Motives over totally real fields and \(p\)-adic \(L\)-functions ⋮ Some remarks on the critical values of Rankin-Selberg \(L\)-series ⋮ Unnamed Item ⋮ Applications of the theory of modular forms to number theory ⋮ Hecke duality of Ikeda lifts ⋮ On the arithmetic of Siegel-Hilbert cusp forms: Petersson inner products and Fourier coefficients ⋮ Eisenstein series on tube domains ⋮ A remark on the Hilbert modular forms of weight 1 ⋮ On the Brumer-Stark conjecture ⋮ On the theory of Hilbert modular functions. I: Arithmetic groups and Eisenstein series

Cites Work

• Über die Werte der Dedekindschen Zetafunktion
• Zur Theorie der automorphen Funktionen von \(n\) Veränderlichen. (On the theory of automorphic functions of \(n\) variables)
• Über den Körper der Fourierkoeffizienten der von Hecke untersuchten Eisensteinreihen
• Über die Darstellung der ganzen Spitzenformen zu den Idealstufen der Hilbertschen Modulgruppe und die Abschätzung ihrer Fourierkoeffizienten

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