000			01190nam a22002057a 4500
005			20240205120949.0
008			240205b ||||| |||| 00| 0 eng d
022			_a0019-5588
100			_aVasuki, K. R.
245			_aOn two theta function identities of Ramanujan (Journal Article)
260			_aNew Delhi _b:Indian National Science Academy | Springer _c,2023
300			_a1099-1104p.
440			_aIndian Journal of Pure and Applied Mathematics _v, Volume 54: Number 4, December 2023
505			_a***______{For Hard Copy, Please visit Library.}________***
520			_aAbstract: 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.
650			_aTheta functions| Divisor functions
700			_aShankar, A. I. Vijaya
856			_uhttps://doi.org/10.1007/s13226-022-00323-9
942			_cPER
999			_c45414 _d45413