On a distribution property of the residual order of a (mod p), II
| dc.creator | Murata, L. | |
| dc.creator | Chinen, K. | |
| dc.date | 2002-11-05 | |
| dc.date.accessioned | 2026-07-07T04:52:40Z | |
| dc.date.available | 2026-07-07T04:52:40Z | |
| dc.description | Let a be a positive integer which is not a perfect h-th power with h greater than 1, and Q_a(x;4,j) be the set of primes p less than x such that the residual order of a(mod p) is congruent to j modulo 4. When j=0, 2, it is known that calculations of #Q_a(x;4,j) are simple, and we can get their natural densities unconditionally. On the contrary, when j=1, 3, the distribution properties of Q_a(x;4,j) are rather complicated. In this paper, which is a sequel of our previous paper (part I), under the assumption of Generalized Riemann Hypothesis, we determine completely the natural densities of #Q_a(x;4,j) for j=1, 3. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211083 | |
| dc.identifier | http://arxiv.org/abs/math/0211083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65551 | |
| dc.subject | Number Theory | |
| dc.subject | 11N05, 11N25, 11R18 | |
| dc.title | On a distribution property of the residual order of a (mod p), II | |
| dc.type | text |