Theta-function identities of level 8 and its application to partitions

Kumar, Srivatsa B R and Rajanna, Prabhakar K and Narendra, R (2018) Theta-function identities of level 8 and its application to partitions. Afrika Matematika (Springer). pp. 54-65. ISSN 1012-9405

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Abstract

S. Ramanujan has recorded many theta-function identities in his notebooks and ‘Lost’ notebook. Inspired by the works of Ramanujan, recently M. Somos discovered several new theta-function identities using PARI/GP scripts without offering the proof, which are analogous to Ramanujan’s theta-function identities. In this paper, we give proofs for some theta-function identities of level 8 discovered by Somos. Furthermore, we extract some partition identities from them.

Item Type: Article
Uncontrolled Keywords: Theta-functions Colored partitions
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 30 Jan 2019 10:47
Last Modified: 30 Jan 2019 10:47
URI: http://eprints.manipal.edu/id/eprint/153082

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