Theta-function identities of level 8 and its application to partitions

B. R.Srivatsa Kumar; K. R. Rajanna; R. Narendra

doi:10.1007/s13370-018-0643-8

Theta-function identities of level 8 and its application to partitions

B. R.Srivatsa Kumar^*
, K. R. Rajanna
, R. Narendra

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	257-267
Number of pages	11
Journal	Afrika Matematika
Volume	30
Issue number	1-2
DOIs	https://doi.org/10.1007/s13370-018-0643-8
Publication status	Published - 04-03-2019

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "S. Ramanujan has recorded many theta-function identities in his notebooks and {\textquoteleft}Lost{\textquoteright} 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{\textquoteright}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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Theta-function identities of level 8 and its application to partitions

Abstract

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