Fast growing sequences of numbers and the first digit phenomenon

DOI10.1142/S1793042115500384zbMath1321.11074OpenAlexW2162267679WikidataQ114072034 ScholiaQ114072034MaRDI QIDQ5248572

Dominique Schneider, Bruno Massé

Publication date: 8 May 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042115500384

zbMATH Keywords

uniform distributionBenford's lawmantissasuperfactorialhyperfactorial

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Related Items (8)

Dirichlet, Sierpiński, and Benford ⋮ Benford behavior and distribution in residue classes of large prime factors ⋮ Intermediate prime factors in specified subsets ⋮ On the discrepancy of powers of random variables ⋮ A local Benford Law for a class of arithmetic sequences ⋮ Products of random variables and the first digit phenomenon ⋮ Leading Digits of Mersenne Numbers ⋮ Complexity of Leading Digit Sequences

Cites Work

• Unnamed Item
• Survey article: on weighted densities and their connection with the first digit phenomenon
• Sequences, discrepancies and applications
• Prime numbers and the first digit phenomenon
• Logarithmic uniform distribution of \((\alpha n+\beta \,\log \,n)\)
• On the mantissa distribution of powers of natural and prime numbers
• Benford’s law for coefficients of modular forms and partition functions
• One-dimensional dynamical systems and Benford’s law
• The mantissa distribution of the primorial numbers
• A survey on sequences and distribution functions satisfying the first-digit-law

This page was built for publication: Fast growing sequences of numbers and the first digit phenomenon