An order result for the exponential divisor function
| dc.creator | Tóth, László | |
| dc.date | 2007-08-27 | |
| dc.date.accessioned | 2026-07-07T08:25:49Z | |
| dc.date.available | 2026-07-07T08:25:49Z | |
| dc.description | The integer $d=\prod_{i=1}^s p_i^{b_i}$ is called an exponential divisor of $n=\prod_{i=1}^s p_i^{a_i}>1$ if $b_i \mid a_i$ for every $i\in \{1,2,...,s\}$. Let $τ^{(e)}(n)$ denote the number of exponential divisors of $n$, where $τ^{(e)}(1)=1$ by convention. The aim of the present paper is to establish an asymptotic formula with remainder term for the $r$-th power of the function $τ^{(e)}$, where $r\ge 1$ is an integer. This improves an earlier result of {\sc M. V. Subbarao} [5]. | |
| dc.identifier | https://arxiv.org/abs/0708.3552 | |
| dc.identifier | http://arxiv.org/abs/0708.3552 | |
| dc.identifier | Publ. Math. Debrecen, 71 (2007), no. 1-2, 165-171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136748 | |
| dc.subject | Number Theory | |
| dc.subject | 11A25, 11N37 | |
| dc.title | An order result for the exponential divisor function | |
| dc.type | text |