Two problems on the distribution of Carmichael's lambda function

DOI10.1112/mtk.12222arXiv2303.14043MaRDI QIDQ6080810

Paul Pollack

Publication date: 25 October 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.14043

zbMATH Keywords

multiplicative orderBenford's lawCarmichael's functionweakly uniform distribution

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Sequences (mod (m)) (11B50)

Cites Work

• Uniform estimates for certain multiplicative properties
• Uniform distribution of sequences of integers in residue classes
• On primes \(p\) for which \(d\) divides \(\text{ord}_p(g)\)
• On a problem of Oppenheim concerning Factorisatio Numerorum
• On the number of restricted prime factors of an integer. I
• The distribution of leading digits and uniform distribution mod 1
• On the integral-valued additive functions
• Distribution in coprime residue classes of polynomially-defined multiplicative functions
• Carmichael's lambda function
• On the distribution of amicable numbers.
• On generalizing Artins conjecture on primitive roots to composite moduli
• The Distribution of Prime Numbers
• Divisibility of reduction in groups of rational numbers
• On distribution of values of multiplicative functions in residue classes
• On Benford’s law for multiplicative functions
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