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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Education, Busan National University of Education)

Paek, Dae Hyun. (2021). EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY SOME THETA FUNCTION IDENTITIES: REVISITED. 한국수학교육학회지시리즈B:순수및응용수학, 28(1), 27-42, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.27

복사

Abstract

In this paper, we exploit some known theta function identities involving two parameters &#55349;&#56409;k,n and &#55349;&#56409;′k,n for the theta function &#55349;&#57107; to find about 54 new values of the Ramanujan's cubic continued fraction.

keywords: cubic continued fraction, modular equations, theta function identities

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논문 상세

Vol.28 No.1

EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY SOME THETA FUNCTION IDENTITIES: REVISITED

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학