Hecke’s modular forms by functional equations

DOI10.1142/S179304211850077XzbMath1428.11076OpenAlexW2774507474MaRDI QIDQ4643778

Bernhard E. Heim

Publication date: 29 May 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304211850077x

zbMATH Keywords

modular formsFourier serieseta-quotientsHecke theory

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• On spaces of modular forms spanned by eta-quotients
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Herleitung des Euler-Produktes der Zetafunktion und einiger \(L\)-Reihen aus ihrer Funktionalgleichung
• A New Type of Functional Equations of Euler Products
• Eta Products and Theta Series Identities
• A Characterization of Holomorphic Borcherds Lifts by Symmetries
• Product formulas for modular forms on O(2,n) (after R.Borcherds)
• On a certain class of modular functions
• Modular Forms

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