New Modular Equations of Signature Three in the Spirit of Ramanujan

Kumar, Srivatsa B R and Shruthi, . (2020) New Modular Equations of Signature Three in the Spirit of Ramanujan. Filomat, 34 (9). pp. 2847-2868. ISSN 0354-5180

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Abstract

Srinivasa Ramanujan recorded many modular equations in his notebooks, which are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature three by using theta function identities of composite degrees.

Item Type: Article
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 08 Feb 2021 08:58
Last Modified: 08 Feb 2021 08:58
URI: http://eprints.manipal.edu/id/eprint/156374

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