On the distribution of the order over residue classes
| dc.creator | Moree, Pieter | |
| dc.date | 2006-08-18 | |
| dc.date.accessioned | 2026-07-07T07:21:55Z | |
| dc.date.available | 2026-07-07T07:21:55Z | |
| dc.description | The multplicative order of an integer g modulo a prime p, with p coprime to g, is defined to be the smallest positive integer k such that g^k is congruent to 1 modulo p. For fixed integers g and d the distribution of this order over residue classes mod d is considered as p runs over the primes. An overview is given of the most significant of my results on this problem obtained (mainly) in the three part series of papers `On the distribution of the order and index of g (modulo p) over residue classes' I-III (appeared in the Journal of Number Theory, also available from the ArXiv). | |
| dc.description | 8 pages, 1 table | |
| dc.identifier | https://arxiv.org/abs/math/0608468 | |
| dc.identifier | http://arxiv.org/abs/math/0608468 | |
| dc.identifier | Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 121-128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115472 | |
| dc.subject | Number Theory | |
| dc.subject | 11N37; 11R45; secondary 11N69 | |
| dc.title | On the distribution of the order over residue classes | |
| dc.type | text |