The maximal order of a class of multiplicative arithmetical functions
| dc.creator | Tóth, László | |
| dc.creator | Wirsing, Eduard | |
| dc.date | 2006-10-11 | |
| dc.date.accessioned | 2026-07-07T07:28:57Z | |
| dc.date.available | 2026-07-07T07:28:57Z | |
| dc.description | We prove simple theorems concerning the maximal order of a large class of multiplicative functions. As an application, we determine the maximal orders of certain functions of the type $σ_A(n)= \sum_{d\in A(n)} d$, where A(n) is a subset of the set of all positive divisors of $n$, including the divisor-sum function $σ(n)$ and its unitary and exponential analogues. We also give the minimal order of a new class of Euler-type functions, including the Euler-function $ϕ(n)$ and its unitary analogue. | |
| dc.identifier | https://arxiv.org/abs/math/0610360 | |
| dc.identifier | http://arxiv.org/abs/math/0610360 | |
| dc.identifier | Annales Univ. Sci. Budapest., Sect. Comp., 22 (2003), 353-364 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117920 | |
| dc.subject | Number Theory | |
| dc.subject | 11A25, 11N37 | |
| dc.title | The maximal order of a class of multiplicative arithmetical functions | |
| dc.type | text |