A local Benford Law for a class of arithmetic sequences

DOI10.1142/S1793042119500325zbMath1445.11079arXiv1808.01496MaRDI QIDQ4629113

Junxian Li, Zhaodong Cai, Adolf Hildebrand

Publication date: 25 March 2019

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

Full work available at URL: https://arxiv.org/abs/1808.01496

zbMATH Keywords

uniform distributionBenford's law

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Distribution of primes (11N05) General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Related Items (2)

Complexity of Leading Digit Sequences ⋮ On digits of Mersenne numbers

Cites Work

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• A basic theory of Benford's law
• Survey article: on weighted densities and their connection with the first digit phenomenon
• The distribution of leading digits and uniform distribution mod 1
• Benford’s law for coefficients of modular forms and partition functions
• On the Kusmin-Landau inequality for exponential sums
• Solution of a problem of Knuth on complete uniform distribution of sequences
• The First Digit Problem
• The Significant-Digit Phenomenon
• Leading Digits of Mersenne Numbers
• Fast growing sequences of numbers and the first digit phenomenon
• An Introduction to Benford's Law
• Benford's Law
• Deterministic Simulation of Random Processes

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