On Some Finite Sums with Factorials
| dc.creator | Dragovich, Branko | |
| dc.date | 2004-04-27 | |
| dc.date.accessioned | 2026-07-07T05:07:45Z | |
| dc.date.available | 2026-07-07T05:07:45Z | |
| dc.description | The summation formula $$ \sum^{n-1}_{i=0}ε^i i! (i^k+u_k) = v_k+ε^{n-1} n! A_{k-1}(n) $$ $(ε=\pm 1; k=1,2,...; u_k, v_k\in \msbm\hbox{Z}; A_{k-1}$ is a polynomial) is derived and its various aspects are considered. In particular, divisibility with respect to $n$ is investigated. Infinitely many equivalents to Kurepa's hypothesis on the left factorial are found. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404487 | |
| dc.identifier | http://arxiv.org/abs/math/0404487 | |
| dc.identifier | FACTA UNIVERSITATIS; Ser. Math. Inform. 14 (1999) 1-10 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70984 | |
| dc.subject | Number Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 11A05 | |
| dc.title | On Some Finite Sums with Factorials | |
| dc.type | text |