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On Farey Fractions with Small Prime Factors

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Abstract

We investigate the Farey fractions, i.e., the set of irreducible fractions m /n, 0 < m < n ⩽ x. We derive an asymptotic equality for the number of Farey fractions having no large prime factors.

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Authors and Affiliations

  1. Vilnius University, Naugarduko 24, Vilnius, LT-03225, Lithuania

    V. Stakėnas

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  1. V. Stakėnas
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Stakėnas, V. On Farey Fractions with Small Prime Factors. Lithuanian Mathematical Journal 44, 272–284 (2004). https://doi.org/10.1023/B:LIMA.0000046876.26258.14

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  • DOI: https://doi.org/10.1023/B:LIMA.0000046876.26258.14

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