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

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

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Theta Functions
Partition
Ramanujan
Partition Identities

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Kumar, B. R.Srivatsa ; Rajanna, K. R. ; Narendra, R. / Theta-function identities of level 8 and its application to partitions. In: Afrika Matematika. 2019 ; Vol. 30, No. 1-2. pp. 257-267.
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Theta-function identities of level 8 and its application to partitions. / Kumar, B. R.Srivatsa; Rajanna, K. R.; Narendra, R.

In: Afrika Matematika, Vol. 30, No. 1-2, 04.03.2019, p. 257-267.

Research output: Contribution to journalArticle

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