A scaling property of Farey fractions. IV: Mean value formulas

DOI10.1007/s40879-017-0197-6zbMath1419.11037OpenAlexW2769350095MaRDI QIDQ1630223

Matthias Kunik

Publication date: 7 December 2018

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

Full work available at URL: https://doi.org/10.1007/s40879-017-0197-6

zbMATH Keywords

Mellin transformRiemann zeta functionprime number theoremDiophantine approximationHardy spacesFarey sequences

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Integral transforms of special functions (44A20) (H^p)-spaces (42B30) 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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Cites Work

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