The distribution of special subsets of the Farey sequence |
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| Authors: | Alan Haynes |
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| Affiliation: | Department of Mathematics, University of Texas at Austin, Austin, TX 78712, USA |
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| Abstract: | We will examine the subset  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  , as Q→∞. |
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| Keywords: | Farey fractions Distribution of rationals |
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