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A scaling property of Farey fractions

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Publication:300481
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DOI10.1007/s40879-016-0098-0zbMath1419.11035OpenAlexW2338442448MaRDI QIDQ300481

Matthias Kunik

Publication date: 28 June 2016

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-016-0098-0

zbMATH Keywords

Mellin transformRiemann zeta functionHardy spacesFarey sequences


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Integral transforms of special functions (44A20) (H^p)-spaces (42B30) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)


Related Items

A scaling property of Farey fractions. IV: Mean value formulas, On the error term of a lattice counting problem, A scaling property of Farey fractions. III: Representation formulas, A scaling property of Farey fractions. II: Convergence at rational points, New insight into results of Ostrowski and Lang on sums of remainders using Farey sequences



Cites Work

  • Identities involving Farey fractions
  • Distribution of rational numbers in short intervals
  • The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
  • The h-spacing distribution between Farey points
  • A Note on Farey Series
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