Explicit evaluations of a Ramanujan-Selberg continued fraction

DOI10.1090/S0002-9939-01-06183-4zbMath0992.11007MaRDI QIDQ2750879

Liang-Cheng Zhang

Publication date: 21 October 2001

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

zbMATH Keywords

singular moduliRamanujan-Selberg continued fraction

Mathematics Subject Classification ID

Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (8)

Explicit evaluation formula for Ramanujan's singular moduli and Ramanujan-Selberg continued fractions ⋮ Modular relations and explicit values of Ramanujan-Selberg continued fractions ⋮ A note of a modular equation of Ramanujan-Selberg continued fraction ⋮ Some new explicit values of Ramanujan-Selberg continued fraction ⋮ EXPLICIT EVALUATIONS OF TWO RAMANUJAN–SELBERG CONTINUED FRACTIONS ⋮ Two theta-function identities for the Ramanujan-Selberg continued fraction and applications ⋮ Modularity of a Ramanujan-Selberg continued fraction ⋮ From a Ramanujan-Selberg continued fraction to a Jacobian identity

Cites Work

• Ramanujan's continued fraction
• Ramanujan's singular moduli
• q-difference equations and Ramanujan-Selberg continued fractions
• The continued fractions found in the unorganized portions of Ramanujan’s notebooks
• Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations
• Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
• Weber's class invariants
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