On Ramanujan's cubic continued fraction as a modular function

DOI10.2748/tmj/1294170348zbMath1248.11110OpenAlexW1980575252MaRDI QIDQ625605

Bumkyu Cho, Ja Kyung Koo, Yoon Kyung Park

Publication date: 23 February 2011

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1294170348

zbMATH Keywords

modular formclass field theoryRamanujan cubic continued fraction

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Class field theory (11R37) Algebraic numbers; rings of algebraic integers (11R04) Riemann surfaces; Weierstrass points; gap sequences (14H55) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (10)

On some arithmetic properties of Siegel functions ⋮ Analogue of Ramanujan’s function k(τ) for the cubic continued fraction ⋮ New identities for Ramanujan's cubic continued fraction ⋮ Unnamed Item ⋮ Ray class invariants over imaginary quadratic fields ⋮ Modular equations for congruence subgroups of genus zero. II ⋮ Modular equations of a continued fraction of order six ⋮ Modularity of a Ramanujan-Selberg continued fraction ⋮ Modular equations for congruence subgroups of genus zero ⋮ Ramanujan continued fractions of order sixteen

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