01190nam a22002057a 4500 20240205120949.0 240205b ||||| |||| 00| 0 eng d 0019-5588 Vasuki, K. R. On two theta function identities of Ramanujan (Journal Article) New Delhi :Indian National Science Academy | Springer ,2023 1099-1104p. Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 ***______{For Hard Copy, Please visit Library.}________*** 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. Theta functions| Divisor functions Shankar, A. I. Vijaya https://doi.org/10.1007/s13226-022-00323-9 PER 0 0 0 0 RIEBPL RIEBPL 2024-02-05 0 2024-02-05 00:00:00 2024-02-05 PER 45414 45413