MMN-4638
Some new results associated with Ramanujan's numbers τ(n)
Aleksandar Petojević; Hari Mohan Srivastava; Marijana Gorjanac Ranitović;Abstract
In this article, the authors derive more precise limits
in the recursion formula of D. H. Lehmer for
Ramanujan's numbers $\tau(n)$, which are generated by
$$[\sum_{n=1}^\infty\tau(n)z^n=z\prod_{n=1}^\infty(1-z^n)^{24}
\qquad (|z|<1).$$
A presumably new recursion formula for Ramanujan's numbers $\tau(n)$
is also presented.
Vol. 26 (2025), No. 1, pp. 485-491