On two theta function identities of Ramanujan (Journal Article)
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 .
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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.
0019-5588
Theta functions| Divisor functions
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 .
***______________***
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.
0019-5588
Theta functions| Divisor functions