On the distribution of the order and index of g(mod p) over residue classes II
| dc.creator | Moree, Pieter | |
| dc.date | 2004-04-19 | |
| dc.date.accessioned | 2026-07-07T06:28:54Z | |
| dc.date.available | 2026-07-07T06:28:54Z | |
| dc.description | For a fixed rational number g different from -1,0,1 and integers a and d the set N_g(a,d) of primes p for which the order of g(mod p) is congruent to a(mod d) is considered. It is shown, assuming the Generalized Riemann Hypothesis (GRH), that this set has a natural density which can be computed in terms of degrees of certain Kummer extensions and Galois theoretic intersection coefficients. In case d is a power of an odd prime several properties of this density are established. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404339 | |
| dc.identifier | http://arxiv.org/abs/math/0404339 | |
| dc.identifier | J. Number Theory 117 (2006), 330-354 | |
| dc.identifier | doi:10.1016/j.jnt.2005.06.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97852 | |
| dc.subject | Number Theory | |
| dc.subject | 11N37; 11R45 | |
| dc.title | On the distribution of the order and index of g(mod p) over residue classes II | |
| dc.type | text |