On a distribution property of the residual order of a (mod p), II

Details On a distribution property of the residual order of a (mod p), II On a distribution property of the residual order of a (mod p), II

2002-11-05

arxiv.org/abs/math/0211083v1

Mathematics

Number Theory

19 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On a distribution property of the residual order of a (mod p), II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a distribution property of the residual order of a (mod p), II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a distribution property of the residual order of a (mod p), II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-636058