On some sums involving the counting function of non-isomorphic abelian groups
Abstract
Let a(n) denote the number of non-isomorphic abelian groups with n elements. In 1991 Ivi\'c proved an asymptotic formula of the sum Σn≤ x a(n+ a(n)). In this paper, we will prove a sharper asymptotic formula for this sum.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.