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

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

Research output: Contribution to journalArticle

1 Citation (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 languageEnglish
Pages (from-to)257-267
Number of pages11
JournalAfrika Matematika
Volume30
Issue number1-2
DOIs
Publication statusPublished - 04-03-2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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