Shruthi, . and Kumar, Srivatsa B R
(2021)
*On certain Somos’s theta function identities of level 14 and
their application to colored partition.*
Italian Journal of Pure and Applied Mathematics (46).
pp. 706-713.
ISSN 1126-8042

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## 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

Item Type: | Article |
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Uncontrolled Keywords: | theta functions, modular equation, partitions. |

Subjects: | Engineering > MIT Manipal > Mathematics |

Depositing User: | MIT Library |

Date Deposited: | 20 Jan 2022 05:55 |

Last Modified: | 20 Jan 2022 05:55 |

URI: | http://eprints.manipal.edu/id/eprint/158072 |

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