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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.28 No.1

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Evaluations of the cubic continued fraction by some theta function identities: Revisited

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.1, pp.27-42
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.27
Paek, Dae Hyun
Paek,, D. H. (2021). Evaluations of the cubic continued fraction by some theta function identities: Revisited. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(1), 27-42, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.27

Abstract

In this paper, we exploit some known theta function identities involving two parameters ��k,n and ��′k,n for the theta function �� to find about 54 new values of the Ramanujan's cubic continued fraction.

keywords
cubic continued fraction, modular equations, theta function identities

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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