International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 795-797

On a function related to Ramanujan's Tau function

John A. Ewell

Department of Mathematical Sciences, Northern Illinois University, DeKalb 60115, Illinois, USA

Received 25 August 1985

Copyright © 1985 John A. Ewell. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.