The distribution of special subsets of the Farey sequence

JOURNAL OF NUMBER THEORY

卷:107

Article

Haynes, A

关键词: Farey fractions;    distribution of rationals;   

DOI  :  10.1016/j.jnt.2004.03.003

来源: Elsevier

【 摘 要 】

We will examine the subset F-Q,F-p of Farey fractions of order Q consisting of those fractions whose denominators are not divisible by a fixed prime p. In particular, we will provide an asymptotic result on the distribution of H-tuples of consecutive fractions in F-Q,F-p, as Q--> infinity. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free