Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9496423 | Journal of Number Theory | 2005 | 34 Pages |
Abstract
For a fixed rational number gâ{-1,0,1} and integers a and d we consider the set Ng(a,d) of primes p for which the order of g(modp) is congruent to a(modd). For d=4 and 3 we show that, under the generalized Riemann hypothesis (GRH), these sets have a natural density δg(a,d) and compute it. The results for d=4 generalise earlier work by Chinen and Murata. The case d=3 was apparently not considered before.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pieter Moree,