New proof to Somos’s Dedekind eta-function identities of level 10

Authors

B. R.Srivatsa Kumar, Manipal Institute of Technology
Shruthi, Manipal Institute of Technology

Document Type

Article

Publication Title

Soft Computing

Abstract

Michael Somos used PARI/GP script to generate several Dedekind eta-function identities by using computer. In the present work, we prove two new Dedekind eta-function identities of level 10 discovered by Somos in two different methods. Also during this process, we give an alternate method to Somos’s Dedekind eta-function identities of level 10 proved by B. R. Srivatsa Kumar and D. Anu Radha. As an application of this, we establish colored partition identities.

First Page

9055

Last Page

9060

DOI

10.1007/s00500-021-05846-7

Publication Date

7-1-2021

Recommended Citation

Kumar, B. R.Srivatsa and Shruthi, "New proof to Somos’s Dedekind eta-function identities of level 10" (2021). Open Access archive. 2717.
https://impressions.manipal.edu/open-access-archive/2717