Prime divisors of sequences associated to elliptic curves
| dc.creator | Everest, Graham | |
| dc.creator | Shparlinski, Igor E | |
| dc.date | 2004-04-06 | |
| dc.date.accessioned | 2026-07-07T05:07:13Z | |
| dc.date.available | 2026-07-07T05:07:13Z | |
| dc.description | We consider the primes which divide the denominator of the x-coordinate of a sequence of rational points on an elliptic curve. It is expected that for every sufficiently large value of the index, each term should be divisible by a primitive prime divisor, one that has not appeared in any earlier term. Proofs of this are known in only a few cases. Weaker results in the general direction are given, using a strong form of Siegel's Theorem and some congruence arguments. Our main result is applied to the study of prime divisors of Somos sequences. | |
| dc.identifier | https://arxiv.org/abs/math/0404129 | |
| dc.identifier | http://arxiv.org/abs/math/0404129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70772 | |
| dc.subject | Number Theory | |
| dc.subject | 11G41; 11G05 | |
| dc.title | Prime divisors of sequences associated to elliptic curves | |
| dc.type | text |