The von Mises theorem for Farey fractions

DOI10.1007/BF02465852zbMath0963.11043MaRDI QIDQ1589840

Jonas Šiaulys

Publication date: 23 March 2001

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

limiting distributionadditive functionsPoisson lawZbl 0991.36888

Mathematics Subject Classification ID

Arithmetic functions in probabilistic number theory (11K65) Limit theorems in probability theory (60F99)

Cites Work

• Distribution of values of additive functions of a rational argument
• Bernoulli trials with variable probabilities
• A sieve result for Farey fractions
• Convergence to the Poisson law. III: Method of moments
• On the distribution of additive arithmetic functions

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