A scaling property of Farey fractions. III: Representation formulas

DOI10.1007/s40879-017-0132-xzbMath1374.11029OpenAlexW2588513581MaRDI QIDQ1677180

Matthias Kunik

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s40879-017-0132-x

zbMATH Keywords

Riemann zeta functionprime number theoremDiophantine approximationFarey sequences

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Distribution of primes (11N05) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Diophantine approximation in probabilistic number theory (11K60)

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A scaling property of Farey fractions. IV: Mean value formulas ⋮ New insight into results of Ostrowski and Lang on sums of remainders using Farey sequences

Cites Work

• A scaling property of Farey fractions
• A scaling property of Farey fractions. II: Convergence at rational points
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