Modular Equations for Ramanujan’s Cubic Continued Fraction And its Evaluations

Srivatsa Kumar, B R and Rajappa, G N (2013) Modular Equations for Ramanujan’s Cubic Continued Fraction And its Evaluations. International Journal of Mathematical Combinatorics, 3. 01-15. ISSN 1937-1055

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Abstract

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 explicit values of G(e−�pn), for certain values of n.

Item Type: Article
Uncontrolled Keywords: Ramanujan cubic continued fraction, theta functions, modular equation.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 19 Oct 2013 11:22
Last Modified: 08 Oct 2014 10:53
URI: http://eprints.manipal.edu/id/eprint/137525

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