New approach to Somos’s Dedekind eta-function identities of level 6

D. Anu Radha; B. R.Srivatsa Kumar; Shruthi

doi:10.22199/issn.0717-6279-2021-01-0012

New approach to Somos’s Dedekind eta-function identities of level 6

D. Anu Radha^*
, B. R.Srivatsa Kumar
, Shruthi

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

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

Abstract

In the present work, we prove few new Dedekind eta-function identities of level 6 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 6 proved by B. R. Srivatsa Kumar et al. As an application of this, we establish colored partition identities.

Original language	English
Pages (from-to)	187-198
Number of pages	12
Journal	Proyecciones
Volume	40
Issue number	1
DOIs	https://doi.org/10.22199/issn.0717-6279-2021-01-0012
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.22199/issn.0717-6279-2021-01-0012

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title = "New approach to Somos{\textquoteright}s Dedekind eta-function identities of level 6",

abstract = "In the present work, we prove few new Dedekind eta-function identities of level 6 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 6 proved by B. R. Srivatsa Kumar et al. As an application of this, we establish colored partition identities.",

author = "Radha, \{D. Anu\} and Kumar, \{B. R.Srivatsa\} and Shruthi",

note = "Funding Information: The authors thank the referee for his/her valuable suggestions to improve the quality of presentation of the paper. Publisher Copyright: {\textcopyright} 2021. D. Anu Radha, B. R. Srivatsa Kumar, and Shruthi. This is an open access article distributed under the terms of the Creative Commons License, which permits unrestricted use and distribution provided the original author and source are credited. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

doi = "10.22199/issn.0717-6279-2021-01-0012",

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AU - Radha, D. Anu

AU - Kumar, B. R.Srivatsa

AU - Shruthi,

N1 - Funding Information: The authors thank the referee for his/her valuable suggestions to improve the quality of presentation of the paper. Publisher Copyright: © 2021. D. Anu Radha, B. R. Srivatsa Kumar, and Shruthi. This is an open access article distributed under the terms of the Creative Commons License, which permits unrestricted use and distribution provided the original author and source are credited. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021

Y1 - 2021

N2 - In the present work, we prove few new Dedekind eta-function identities of level 6 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 6 proved by B. R. Srivatsa Kumar et al. As an application of this, we establish colored partition identities.

AB - In the present work, we prove few new Dedekind eta-function identities of level 6 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 6 proved by B. R. Srivatsa Kumar et al. As an application of this, we establish colored partition identities.

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IS - 1

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New approach to Somos’s Dedekind eta-function identities of level 6

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