On a method of Balasubramanian and Ramachandra (on the abelian group problem)

Abstract

Let an denote the number of non-isomorphic abelian groups of order n. We consider A(x) = Σn≤x an = Σj=110 Cjx1/j + E(x) where E(x) is the error term. We study E(x) through the general method of Balasubramanian and Ramachandra.