On modular equations of degree 25

Vasuki, K. R. and Sharma, M. V. Yathiraj (2020) On modular equations of degree 25. Ramanujan Journal. ISSN 1572-9303

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Official URL: https://doi.org/10.1007/s11139-020-00276-9


On page 237-238 of his second notebook, Ramanujan recorded five modular equations of composite degree 25. Berndt proved all these using the method of parametrization. He also expressed that his proofs undoubtedly often stray from the path followed by Ramanujan. The purpose of this paper is to give direct proofs to four of the five modular equations using the identities known to Ramanujan.

Item Type: Article
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: Mr Umendra uom
Date Deposited: 25 Feb 2021 05:13
Last Modified: 05 Jul 2022 06:03
URI: http://eprints.uni-mysore.ac.in/id/eprint/15545

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