Divisibility by 2 and 3 of certain Stirling numbers
| dc.creator | Davis, Donald M | |
| dc.date | 2008-07-16 | |
| dc.date.accessioned | 2026-07-07T09:50:45Z | |
| dc.date.available | 2026-07-07T09:50:45Z | |
| dc.description | The numbers e_p(k,n) defined as min(nu_p(S(k,j)j!): j >= n) appear frequently in algebraic topology. Here S(k,j) is the Stirling number of the second kind, and nu_p(-) the exponent of p. The author and Sun proved that if L is sufficiently large, then e_p((p-1)p^L + n -1, n) >= n-1+nu_p([n/p]!). In this paper, we determine the set of integers n for which equality holds in this inequality when p=2 and 3. The condition is roughly that, in the base-p expansion of n, the sum of two consecutive digits must always be less than p. | |
| dc.description | 35 pages, submitted | |
| dc.identifier | https://arxiv.org/abs/0807.2629 | |
| dc.identifier | http://arxiv.org/abs/0807.2629 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165053 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | 11B73; 55Q52 | |
| dc.title | Divisibility by 2 and 3 of certain Stirling numbers | |
| dc.type | text |