Theta function identities of level 6 and their application to partitions

Authors

B. R. Srivatsa Kumar, Manipal Institute of Technology
K. R. Rajanna, Acharya Institute of Technology
R. Narendra, Acharya Institute of Technology

Document Type

Article

Publication Title

Filomat

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.

First Page

3323

Last Page

3335

DOI

10.2298/FIL1911323S

Publication Date

1-1-2019

Recommended Citation

Srivatsa Kumar, B. R.; Rajanna, K. R.; and Narendra, R., "Theta function identities of level 6 and their application to partitions" (2019). Open Access archive. 874.
https://impressions.manipal.edu/open-access-archive/874