Ducci iterates and similar ordering of visible points in convex regions

DOI10.1142/S1793042120500013zbMath1473.11044OpenAlexW2950829578MaRDI QIDQ5213978

Albert Tamazyan, Junxian Li, Alexandru Zaharescu

Publication date: 6 February 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500013

zbMATH Keywords

Farey fractionssimilar orderingDucci iteratesplane visible points

Mathematics Subject Classification ID

Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Sequences and sets (11B99)

Cites Work

• Discrepancy of fractions with divisibility constraints
• The index of a Farey sequence.
• Distribution of lattice points visible from the origin
• Gap distribution of Farey fractions under some divisibility constraints
• A note on Farey fractions with denominators in arithmetic progressions
• NUMERATORS OF DIFFERENCES OF NONCONSECUTIVE FAREY FRACTIONS
• On the index of Farey sequences
• On Kloosterman's sum
• On Some Exponential Sums
• A MEAN VALUE THEOREM CONCERNING FAREY SERIES
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