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 |
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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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