International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 795-797
doi:10.1155/S0161171285000874
On a function related to Ramanujan's tau function
John A. Ewell
Department of Mathematical Sciences, Northern Illinois University, DeKalb 60115, Illinois, USA
Abstract
For the function ψ=ψ12, defined by ∑1∞ψ(n)xn=x∏1∞(1−x2n)12 (|x|<1), the author derives two simple formulas. The simpler of these two formulas is expressed solely in terms of the well-known sum-of-divisors function.