Theta function identities of level 6 and their application to partitions

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

Research output: Contribution to journalArticle

Abstract

M. Somos has conjectured many theta function identities belonging to different levels. He has done so with the use of a computer but has not chosen to validate these identities. We find that the mentioned identities are analogous to those discovered by Srinivasa Ramanujan. The intent to prove some of the identities prepared by Somos concerning theta function identities of a level six and to also establish certain partition-theoretic interpretations of these identities which we have been successfully proved here.

Original languageEnglish
Pages (from-to)3323-3335
Number of pages13
JournalFilomat
Volume33
Issue number11
DOIs
Publication statusPublished - 01-01-2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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