Modular forms of degree n and representation by quadratic forms

DOI10.1017/S002776300001847XzbMath0404.10014MaRDI QIDQ4189343

Yoshiyuki Kitaoka

Publication date: 1979

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

zbMATH Keywords

Fourier expansionEisenstein seriesFourier coefficientsSiegel modular formsrepresentation by quadratic formsintegral matricesanalytic proof

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Related Items

Cones of special cycles of codimension 2 on orthogonal Shimura varieties, ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS, Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen, Characterization of Siegel cusp forms by the growth of their Fourier coefficients, Petersson norms of not necessarily cuspidal Jacobi modular forms and applications, A note on Klingen's Eisenstein series, On Fourier coefficients of Klingen's Eisenstein series of degree three, Automorphic forms and functions with respect to the Jacobi group, Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen, Modular forms, Modular forms of degree n and representation by quadratic forms II

Cites Work

• Modular forms of degree \(n\) and representation by quadratic forms
• Quadratische Semi-Ordnungen und quadratische Formen
• Zum Darstellungssatz für Siegelsche Modulformen
• Über die analytische Theorie der quadratischen Formen
• Einführung in die Theorie der Modulfunktionen \(n\)-ten Grades