Fourier coefficients of generalized Eisenstein series of degree two. II

DOI10.2996/kmj/1138036859zbMath0536.10019OpenAlexW2031266548MaRDI QIDQ791567

Shin-ichiro Mizumoto

Publication date: 1984

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036859

zbMATH Keywords

modular formsFourier coefficientsexplicit formulaelliptic cusp formKlingen-Eisenstein series of degree two

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)

Related Items (8)

Multiplicative relations for Fourier coefficients of degree 2 Siegel eigenforms ⋮ Unnamed Item ⋮ On integrality of Eisenstein liftings ⋮ On the Siegel-Eisenstein measure and its applications ⋮ Pullback of Klingen Eisenstein series and certain critical L-values identities ⋮ Kurokawa-Mizumoto congruences and degree-8 \(L\)-values ⋮ Eigenform product identities for degree two Siegel modular forms ⋮ Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two

Cites Work

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• Integrality of certain algebraic values attached to modular forms
• Fourier coefficients of generalized Eisenstein series of degree two. I
• On Eisenstein series for Siegel modular groups
• Über gewisse Siegelsche Modulformen zweiten Grades
• On the functional equations satisfied by Eisenstein series
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Newforms and functional equations
• On Eisenstein series of degree two for Hilbert-Siegel modular groups
• Zum Darstellungssatz für Siegelsche Modulformen
• Einführung in die Theorie der Modulfunktionen \(n\)-ten Grades
• Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. (The prime numbers in the theory of Siegel's modular functions)
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• The special values of the zeta functions associated with cusp forms
• On Eisenstein series of degree two

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