Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

@article{171053,
        author = {Dr. Madhusudhan H. S.},
        title = {Some P-Q eta function identities},
        journal = {International Journal of Innovative Research in Technology},
        year = {2024},
        volume = {2},
        number = {5},
        pages = {244-249},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=171053},
        abstract = {In unorganized portion of his second note book [3], Ramanujan recorded twenty-three results on P-Q eta function identities or modular equations. These are the identities involving the quotients of eta-function which are designated by P or Q by Ramanujan. Berndt [2] established proof of 18 of these identities by employing theory of theta functions in the spirit of Ramanujan and remaining 5 by employing the theory of modular forms. These modular equations play important role in the explicit evaluations of continued fractions and Class Invariants. In this paper we deduce certain P-Q modular equations and using these modular equations we obtain the values of Class Invariants.},
        keywords = {Modular equations, theta functions, class-invariants, quotients of eta-functions},
        month = {December},
        }