Asymptotic density and the asymptotics of partition functions
| dc.creator | Nathanson, Melvyn B. | |
| dc.date | 2000-02-13 | |
| dc.date.accessioned | 2026-07-07T04:33:51Z | |
| dc.date.available | 2026-07-07T04:33:51Z | |
| dc.description | Let A be a set of positive integers with gcd(A) = 1, and let p_A(n) be the partition function of A. Let c = π\sqrt(2/3). Let α> 0. It is proved that log p_A(n) ~ c\sqrt(αn) if and only if the set A has asymptotic density α. | |
| dc.description | 17 pages. To appear in Acta Math. Hungarica | |
| dc.identifier | https://arxiv.org/abs/math/0002103 | |
| dc.identifier | http://arxiv.org/abs/math/0002103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58680 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11P82,11P70,11B05 | |
| dc.title | Asymptotic density and the asymptotics of partition functions | |
| dc.type | text |