On Russell-Type Modular Equations

DOI10.4153/CJM-2000-002-0zbMath0972.11030MaRDI QIDQ4488810

Wen-Chin Liaw, Heng Huat Chan

Publication date: 9 July 2000

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

hypergeometric seriesimaginary quadratic fieldsRamanujanmodular equationsconstruction of Hilbert class fieldsRussell-type modular equations

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Class field theory (11R37) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (9)

Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction. ⋮ Cubic theta functions ⋮ New \(P-Q\) mixed modular equations and their applications ⋮ Schläfli modular equations for generalized Weber functions ⋮ Wronskians of theta functions and series for \(1/\pi\) ⋮ Unnamed Item ⋮ Proof of a rational Ramanujan-type series for 1/π. The fastest one in level 3 ⋮ Proof of Chudnovskys' hypergeometric series for \(1/\pi\) using Weber modular polynomials ⋮ A NEW CLASS OF MODULAR EQUATION FOR WEBER FUNCTIONS

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