On certain large additive functions
| dc.creator | Ivić, Aleksandar | |
| dc.date | 2003-11-27 | |
| dc.date.accessioned | 2026-07-07T05:03:20Z | |
| dc.date.available | 2026-07-07T05:03:20Z | |
| dc.description | Let P(n) denote the largest prime factor of $n \ge 2, P(1) = 1$, and let $$ β(n) = \sum_{p|n}p, \Beta(n) = \sum_{p^α||n}αp, \Beta_1(n) = \sum_{\p^α||n}p^α$$ denote "large" additive functions. A survey of results on the functions $P(n), β(n), \Beta(n)$ and $\Beta_1(n)$ is presented, as well as some new results and open problems. | |
| dc.description | 9 pages, Dedicated to Paul Erd\H os | |
| dc.identifier | https://arxiv.org/abs/math/0311505 | |
| dc.identifier | http://arxiv.org/abs/math/0311505 | |
| dc.identifier | "Paul Erd\H os and his Mathematics I", J. Bolyai Soc. Math. Studies 11, Budapest, 2002, pp, 319-331 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69378 | |
| dc.subject | Number Theory | |
| dc.subject | 11N37 | |
| dc.title | On certain large additive functions | |
| dc.type | text |