• Certain Somos’s $P–Q$ type Dedekind $\eta$-function identities

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/128/04/0042

• # Keywords

Dedekind $\eta$-function; theta functions; modular equations; colored partitions

• # Abstract

In this paper, we provide a new proof for the Dedekind $\eta$-function identities discovered by Somos. During this process, we found two new Dedekind $\eta$-function identities. Furthermore, we extract interesting partition identities from some of the $\eta$-function identities.

• # Author Affiliations

1. Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576 104, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019