Kumar, Srivasta and Rajanna, K R 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.

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