Arithmetic progressions consisting of unlike powers
| dc.creator | Bruin, N. | |
| dc.creator | Gyory, K. | |
| dc.creator | Hajdu, L. | |
| dc.creator | Tengely, Sz. | |
| dc.date | 2005-12-17 | |
| dc.date.accessioned | 2026-07-07T06:55:28Z | |
| dc.date.available | 2026-07-07T06:55:28Z | |
| dc.description | In this paper we present some new results about unlike powers in arithmetic progression. We prove among other things that for given $k\geq 4$ and $L\geq 3$ there are only finitely many arithmetic progressions of the form $(x_0^{l_0},x_1^{l_1},...,x_{k-1}^{l_{k-1}})$ with $x_i\in{\Bbb Z},$ gcd$(x_0,x_1)=1$ and $2\leq l_i\leq L$ for $i=0,1,...,k-1.$ Furthermore, we show that, for L=3, the progression $(1,1,...,1)$ is the only such progression up to sign. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512419 | |
| dc.identifier | http://arxiv.org/abs/math/0512419 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106288 | |
| dc.subject | Number Theory | |
| dc.subject | 11D41 | |
| dc.title | Arithmetic progressions consisting of unlike powers | |
| dc.type | text |