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

B. R.Srivatsa Kumar; Shruthi

doi:10.1007/s00500-021-05846-7

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

B. R.Srivatsa Kumar, Shruthi^*

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	9055-9060
Number of pages	6
Journal	Soft Computing
Volume	25
Issue number	14
DOIs	https://doi.org/10.1007/s00500-021-05846-7
Publication status	Published - 07-2021

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Software
Geometry and Topology

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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{\textquoteright}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.",

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AB - 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.

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

Abstract

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