The Distribution of Special Subsets of the Farey Sequence

Details The Distribution of Special Subsets of the Farey Sequence The Distribution of Special Subsets of the Farey Sequence

2009-07-13

arxiv.org/abs/0907.2171v1

J. Number Theory, 107 (2004), no.1, 95-104

Mathematics

Number Theory

Scientific paper

In this paper we generalize some of our results from, `A note on Farey
fractions with odd denominators' to subsets of Farey fractions consisting of
fractions with denominators not divisible by a given prime. We also investigate
the joint distribution of numerators of differences of h-tuples of consecutive
fractions in these sets.

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