Gap distribution of Farey fractions under some divisibility constraints
classification
🧮 math.NT
keywords
distributionfareyfractionsconstraintsdivisibilitydivisibleexistencefixed
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For a fixed positive integer d, we show the existence of the limiting gap distribution measure for the sets of Farey fractions a/q of order Q with a not divisible by d, and respectively with q relatively prime with d, as Q tends to infinity.
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