Theta Function Identities of Level 6 and their Application to Partitions

Kumar, Srivatsa B R and Rajanna, K R and Narendra, R (2019) Theta Function Identities of Level 6 and their Application to Partitions. Filomat, 33 (11). pp. 3323-3335. ISSN 0354-5180

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Abstract

M. Somos has conjectured many theta function identities belonging to different levels. He has done so with the use of a computer but has not chosen to validate these identities. We find that the mentioned identities are analogous to those discovered by Srinivasa Ramanujan. The intent to prove some of the identities prepared by Somos concerning theta function identities of a level six and to also establish certain partition-theoretic interpretations of these identities which we have been successfully proved here.

Item Type: Article
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 24 Mar 2021 06:52
Last Modified: 24 Mar 2021 06:52
URI: http://eprints.manipal.edu/id/eprint/156596

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