New Theta-Function Identities of Level 6 in the Spirit of Ramanuja

Kumar, Srivatsa B R and Rajanna, K R and Narendra, R (2019) New Theta-Function Identities of Level 6 in the Spirit of Ramanuja. Mathematical Notes, 106 (6). pp. 922-929. ISSN 0001-4346

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Abstract

Michael Somos discovered several theta-function identities of various levels by computerandofferednoproofforthem. TheseidentitieshighlyresemblesomeofRamanujan’sidentities. Themainfocusofthis paperistoprovesomeofthesetheta-functionidentities,inparticularthoseof level 6 that have been discovered using computational searches. Some of the the Somos identities that we are discussing in this paper cannot be expressedin the form of P −−Q type. Furthermore, we establishcertaincoloredpartition identities forthem

Item Type: Article
Uncontrolled Keywords: theta-functions, Dedekind η-function, modular equations, colored partitions
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 06 May 2020 04:20
Last Modified: 06 May 2020 04:20
URI: http://eprints.manipal.edu/id/eprint/155081

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