Neighboring Fractions in Farey Subsequences

Mathematics – Number Theory

Scientific paper

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14 pages; v.2,3 - misprints in Corollary 2.3(ii) and Remark 4.1(iii) corrected; v.4 - minor improvements; v.5 - new Section 2

Scientific paper

We present explicit formulas for the computation of the neighbors of several
elements of Farey subsequences.

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