An application of Prohorov's theorem to probabilistic number theory

DOI10.1215/ijm/1256059467zbMath0128.04302OpenAlexW2153886952WikidataQ128317276 ScholiaQ128317276MaRDI QIDQ2394565

Patrick Billingsley

Publication date: 1964

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

Full work available at URL: https://doi.org/10.1215/ijm/1256059467

zbMATH Keywords

complete metric spacedistribution of additive functionsProkhorov's theorem on weak compactness of probability measures

Mathematics Subject Classification ID

Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

A non-ergodic compound source with a mixing input source and an Adler ergodic channel ⋮ Unnamed Item ⋮ Additive arithmetic functions on semigroups and the preservation of weak convergence of measures

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