Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations

DOI10.1090/S0002-9947-97-01738-8zbMath0885.11058OpenAlexW1828552277MaRDI QIDQ4336558

Liang-Cheng Zhang, Bruce C. Berndt, Heng Huat Chan

Publication date: 13 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01738-8

zbMATH Keywords

genusclass field theorymodular equationsKronecker's limit formulaRamanujan's class invariants

Mathematics Subject Classification ID

Related Items (10)

Class invariants from a new kind of Weber-like modular equation ⋮ The three missing terms in Ramanujan's septic theta function identity ⋮ EXPLICIT EVALUATIONS OF TWO RAMANUJAN–SELBERG CONTINUED FRACTIONS ⋮ Explicit evaluations of a Ramanujan-Selberg continued fraction ⋮ Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction ⋮ Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook ⋮ A new continued fraction of Ramanujan, its modular identities and explicit evaluations ⋮ Ramanujan's modular equations and Atkin-Lehner involutions ⋮ The Rogers-Ramanujan continued fraction ⋮ A NEW CLASS OF MODULAR EQUATION FOR WEBER FUNCTIONS

Cites Work

• On the Rogers-Ramanujan continued fraction
• Ramanujan's continued fraction
• On the Ramanujan-Göllnitz-Gordon continued fraction
• Orders in quadratic fields. II
• SOME SINGULAR MODULI (II)
• Theorems Stated by Ramanujan (XIV): A Singular Modulus
• SOME SINGULAR MODULI (I)
• Weber's class invariants
• Singular Moduli (3)^†
• Singular Moduli (4)
• Singular Moduli (5)
• Singular Moduli (6)
• Galois theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations