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

Kumar, Srivatsa B R and Shruthi, . (2021) New proof to Somos’s Dedekind eta-function identities of level 10. Soft Computing, 25. pp. 9055-9060. ISSN 1432-7543

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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

Item Type: Article
Uncontrolled Keywords: Dedekind eta-functions · Modular equations · Colored partitions
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 11 Aug 2021 10:05
Last Modified: 11 Aug 2021 10:05
URI: http://eprints.manipal.edu/id/eprint/157113

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