On certain Somos's theta function identities of level 14 and their application to colored partition

Shruthi; B. R. Srivatsa Kumar

On certain Somos's theta function identities of level 14 and their application to colored partition

Shruthi
, B. R. Srivatsa Kumar^*

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

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

Abstract

M. Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. In this paper, we give a new proof of Somos's theta function identities of level 14 using modular equation of degree 7 and further we extract some interesting combinatorial interpretations of colored partitions.

Original language	English
Pages (from-to)	706-713
Number of pages	8
Journal	Italian Journal of Pure and Applied Mathematics
Issue number	46
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "On certain Somos's theta function identities of level 14 and their application to colored partition",

abstract = "M. Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. In this paper, we give a new proof of Somos's theta function identities of level 14 using modular equation of degree 7 and further we extract some interesting combinatorial interpretations of colored partitions.",

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

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AU - Shruthi,

AU - Srivatsa Kumar, B. R.

N1 - Funding Information: The second author is thankful to DST-SERB, India for support under the research project [EMR/2016/001601]. Publisher Copyright: © 2021 Forum-Editrice Universitaria Udinese SRL. All rights reserved.

PY - 2021

Y1 - 2021

N2 - M. Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. In this paper, we give a new proof of Somos's theta function identities of level 14 using modular equation of degree 7 and further we extract some interesting combinatorial interpretations of colored partitions.

AB - M. Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. In this paper, we give a new proof of Somos's theta function identities of level 14 using modular equation of degree 7 and further we extract some interesting combinatorial interpretations of colored partitions.

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M3 - Article

AN - SCOPUS:85118536890

SN - 1126-8042

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JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

IS - 46

ER -

On certain Somos's theta function identities of level 14 and their application to colored partition

Abstract

All Science Journal Classification (ASJC) codes

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