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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       

      B R SRIVATSA KUMAR1 H C VIDYA1

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

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.