Note on modular equations in the theory of signature 4

Authors

B. R.Srivatsa Kumar, Manipal Institute of Technology
P. S. Guruprasad, Government First Grade College
N. V.Sayinath Udupa, Manipal Institute of Technology
Raksha, Manipal Institute of Technology

Document Type

Article

Publication Title

Soft Computing

Abstract

In 2009, M. S. M. Naika et al. obtained Schla¨ fli type modular equations of degree 4. Motivated by their work, in the present work, we prove a class of modular equations in Ramanujan’s alternative theory of elliptic functions using theory of signature 4. In particular, the composite degrees of modular equations {1, 2, 4}, {1, 3, 9}, {1, 5, 25} and {1, 7, 49}.

First Page

16243

Last Page

16249

DOI

10.1007/s00500-023-08036-9

Publication Date

11-1-2023

Recommended Citation

Kumar, B. R.Srivatsa; Guruprasad, P. S.; Udupa, N. V.Sayinath; and Raksha, "Note on modular equations in the theory of signature 4" (2023). Open Access archive. 7706.
https://impressions.manipal.edu/open-access-archive/7706