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 1ψ(n)xn=x1(1x2n)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.