Srivatsa Kumar, B R and Sharath, G
(2020)
*Some Somos's theta function identities of level 6 and application to partitions.*
PUBLICATIONS DE L’INSTITUT MATHÉMATIQUE, 108 (121).
pp. 137-144.
ISSN 0350-1302

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## Abstract

M. Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. He runs PARI/GP scripts and it works as a sophisticated programmable calculator. These identities highly resemble those of Ramanujan’s identities. Here we prove a few theta-function identities of level 6 discovered by Somos by using modular equations of degree 3 given by Ramanujan and further we extract some interesting combinatorial interpretations of colored partitions

Item Type: | Article |
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Subjects: | Engineering > MIT Manipal > Mathematics |

Depositing User: | MIT Library |

Date Deposited: | 29 Oct 2021 06:30 |

Last Modified: | 29 Oct 2021 06:30 |

URI: | http://eprints.manipal.edu/id/eprint/157574 |

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