New modular equations of signature three in the spirit of Ramanujan

Authors

B. R. Srivatsa Kumar, Manipal Institute of Technology
Shruthi, Manipal Institute of Technology

Document Type

Article

Publication Title

Filomat

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.

First Page

2847

Last Page

2868

DOI

10.2298/FIL2009847S

Publication Date

1-1-2020

Recommended Citation

Srivatsa Kumar, B. R. and Shruthi, "New modular equations of signature three in the spirit of Ramanujan" (2020). Open Access archive. 1728.
https://impressions.manipal.edu/open-access-archive/1728