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Discrepancy of fractions with divisibility constraints

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Publication:857853
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DOI10.1007/s00605-006-0383-yzbMath1106.11029OpenAlexW2047880618MaRDI QIDQ857853

Marian Vâjâitu, Andrew H. Ledoan, Emre Alkan, Alexandru Zaharescu

Publication date: 5 January 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0383-y



Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Irregularities of distribution, discrepancy (11K38) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)


Related Items

A note on the pair correlation of Farey fractions ⋮ On the distribution of index of Farey sequences ⋮ On sums over the Möbius function and discrepancy of fractions ⋮ NUMERATORS OF DIFFERENCES OF NONCONSECUTIVE FAREY FRACTIONS ⋮ Ducci iterates and similar ordering of visible points in convex regions



Cites Work

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  • The statistics of the trajectory of a certain billiard in a flat two-torus
  • On the distribution of the Farey sequence with odd denominators
  • The distribution of special subsets of the Farey sequence
  • A note on Farey fractions with odd denominators.
  • The distribution of Farey points
  • The Structure of Farey Series
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