Asymptotic density and the asymptotics of partition functions
Abstract
Let A be a set of positive integers with gcd(A) = 1, and let pA(n) be the partition function of A. Let c = π (2/3). Let α > 0. It is proved that log pA(n) ~ c(α n) if and only if the set A has asymptotic density α.
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.