Schläfli modular equations for generalized Weber functions

DOI10.1007/s11139-007-9087-8zbMath1241.11049OpenAlexW2009865326MaRDI QIDQ953262

William B. Hart

Publication date: 17 November 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/30252/1/WRAP_Hart_0584144-ma-270913-schlaefli.pdf

zbMATH Keywords

modular equationsclass invariantsexplicit class field theory

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items (3)

Class invariants from a new kind of Weber-like modular equation ⋮ Modularity of Galois traces of class invariants ⋮ Constructing class invariants

Cites Work

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• A certain quotient of eta-functions found in Ramanujan's lost notebook.
• Theta function identities
• Cubic modular equations and new Ramanujan-type series for \(1/\pi\).
• Cubic singular moduli, Ramanujan's class invariants \(\lambda_n\) and the explicit Shimura reciprocity law.
• RAMANUJAN'S CLASS INVARIANT λ_n AND A NEW CLASS OF SERIES FOR 1/π
• On Russell-Type Modular Equations
• Über die Schläflischen Modulargleichungen.
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Evaluation of the Dedekind Eta Function

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