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On the distribution of the Farey sequence with odd denominators

2002/01/31 by F. P. Boca, C. Cobeli, A. Zaharescu
Mathematics · #math.NT #msc:11B57

paper · pdf

published as Michigan Math. J. 51 (2003), 557-573 · 16 pages, 1 diagram in XY-pic

arxiv created 2003/12/24 · arxiv updated 2009/11/30

Abstract

We prove some asymptotic results on the distribution of h-tuples of consecutive Farey fractions of order Q with odd denominators as Q→ ∞.

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