On exponentially coprime integers
| dc.creator | Tóth, László | |
| dc.date | 2006-10-09 | |
| dc.date.accessioned | 2026-07-07T07:28:52Z | |
| dc.date.available | 2026-07-07T07:28:52Z | |
| dc.description | The integers $n=\prod_{i=1}^r p_i^{a_i}$ and $m=\prod_{i=1}^r p_i^{b_i}$ having the same prime factors are called exponentially coprime if $(a_i,b_i)=1$ for every $1\le i\le r$. We estimate the number of pairs of exponentially coprime integers $n,m\le x$ having the prime factors $p_1,...,p_r$ and show that the asymptotic density of pairs of exponentially coprime integers having $r$ fixed prime divisors is $(ζ(2))^{-r}$. | |
| dc.identifier | https://arxiv.org/abs/math/0610275 | |
| dc.identifier | http://arxiv.org/abs/math/0610275 | |
| dc.identifier | Pure Math. Appl. (PU.M.A.), 15 (2004), 343-348 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117889 | |
| dc.subject | Number Theory | |
| dc.subject | 11A05, 11A25, 11N37 | |
| dc.title | On exponentially coprime integers | |
| dc.type | text |