Some New Theta-Function Identities and Their Applications to Partition

Anuradha, D and Kumar, Srivasta (2020) Some New Theta-Function Identities and Their Applications to Partition. International Journal of Advanced Science and Technology, 29 (6). pp. 4556-4563. ISSN 2005-4238

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Abstract

Michael Somos discovered thousands of theta-function identities of different levels using computer and offered no proof for them. These identities highly resemble Ramanujan's recordings. The purpose of this paper is to prove some of these theta-function identities of level 10 discovered by Somos

Item Type: Article
Uncontrolled Keywords: Theta functions, Modular equations, Dedekind eta-function and Colored partitions.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 27 Jun 2020 10:42
Last Modified: 27 Jun 2020 10:42
URI: http://eprints.manipal.edu/id/eprint/155370

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