Primitive Roots in Quadratic Fields II
| dc.creator | Cohen, Joseph | |
| dc.date | 2005-01-09 | |
| dc.date.accessioned | 2026-07-07T05:15:55Z | |
| dc.date.available | 2026-07-07T05:15:55Z | |
| dc.description | This paper is continuation of the paper "Primitive roots in quadratic field". We consider an analogue of Artin's primitive root conjecture for algebraic numbers which is not a unit in real quadratic fields. Given such an algebraic number, for a rational prime $p$ which is inert in the field the maximal order of the unit modulo $p$ is $p^2-1$. An extension of Artin's conjecture is that there are infinitely many such inert primes for which this order is maximal. we show that for any choice of 85 algebraic numbers satisfying a certain simple restriction, there is at least one of the algebraic numbers which satisfies the above version of Artin's conjecture. | |
| dc.identifier | https://arxiv.org/abs/math/0501120 | |
| dc.identifier | http://arxiv.org/abs/math/0501120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73799 | |
| dc.subject | Number Theory | |
| dc.subject | 11R04 ; 11N69 | |
| dc.title | Primitive Roots in Quadratic Fields II | |
| dc.type | text |