Vasuki, K. R. and Vijaya Shankar, A. I. (2022) On two theta function identities of Ramanujan. Indian Journal of Pure & Applied Mathematics. ISSN 0975-7465
![[img]](http://eprints.uni-mysore.ac.in/style/images/fileicons/text.png) |
Text
On two theta function identities of Ramanujan.pdf Download (296kB) |
Official URL: https://doi.org/10.1007/s13226-022-00323-9
Abstract
On page 310 of his second notebook, Ramanujan recorded two theta function identities. B. C. Berndt proved them by the method of parameterization. The purpose of this article is to give an elementary proof for those two identities and also we have obtained two theta function identities which are analogues to the identities of Ramanujan. Further, we establish two distinct formula for 3-core partitions in terms of divisor function.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Theta functions; Divisor functions |
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | C Swapna Library Assistant |
| Date Deposited: | 07 Jul 2023 10:12 |
| Last Modified: | 07 Jul 2023 10:12 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/17599 |
Actions (login required)
 |
View Item |
