Phi, primorials, and Poisson

DOI10.1215/00192082-8591576zbMath1453.11123arXiv2001.06727OpenAlexW3001727521MaRDI QIDQ2192223

Paul Pollack, Carl B. Pomerance

Publication date: 13 August 2020

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

Full work available at URL: https://arxiv.org/abs/2001.06727

zbMATH Keywords

normal orderEuler's totient functionasymptotic Poisson distributionCarmichael's arithmetic functionprimordial of a prime

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (1)

Numbers which are orders only of cyclic groups

Cites Work

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• The image of Carmichael's \(\lambda\)-function
• On the number of restricted prime factors of an integer. I
• The distribution of totients
• On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions φ and σ
• On the distribution of amicable numbers.
• Advanced Probability Theory, Second Edition,
• Remarks to my paper “on the distribution of additive and the mean values of multiplicative arithmetic functions”
• A conjecture in elementary number theory

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