Somos's theta-function identities of level 10

Srivatsa Kumar, B R and AnuRadha, D (2017) Somos's theta-function identities of level 10. Turkish Journal of Mathematics. ISSN 1300-0098

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Abstract

M. Somos discovered around 6277 theta-function identities of dif- ferent levels using computer and o�ered no proof for them and these identities highly resembles Ramanujan's recordings. The purpose of this paper is to prove some of his theta-function identities of level 10 and to establish certain partition identities for them.

Item Type: Article
Uncontrolled Keywords: Theta-functions, Modular equations, Dedekind �-function, Col- ored partitions.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 15 Jul 2017 08:36
Last Modified: 15 Jul 2017 08:36
URI: http://eprints.manipal.edu/id/eprint/149358

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