Vasuki, K. R. creator Shankar, A. I. Vijaya text New Delhi :Indian National Science Academy | Springer ,2023 monographic eng

print

1099-1104p. 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. ***______{For Hard Copy, Please visit Library.}________*** Theta functions| Divisor functions 0019-5588 https://doi.org/10.1007/s13226-022-00323-9 https://doi.org/10.1007/s13226-022-00323-9 240205 20240205120949.0