Evaluations of Ramanujan’s Cubic Continued Fraction G(q) by Modular Equations

Srivatsa Kumar, B R and Sreeramamurthy, T G and Rajappa, G N (2012) Evaluations of Ramanujan’s Cubic Continued Fraction G(q) by Modular Equations. Journal of Ramanujan Society of Math. And Math. Sc. , 1 (1). pp. 49-67. ISSN 2319-1023

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Abstract

In this paper, we establish certain modular equations related to ramanujan’s cubic continued fraction G(q):= q1/3 /1 + q+q2 / 1 + q2 +q4 / 1 +… ‘ |q| <1. And obtain many values of G(e -π n), for certain values of n.

Item Type: Article
Uncontrolled Keywords: Ramanujan cubic continued fraction, Theta functions, Modular Equations.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 20 Nov 2012 07:00
Last Modified: 08 Oct 2014 11:02
URI: http://eprints.manipal.edu/id/eprint/77589

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