The Surprising Accuracy of Benford’s Law in Mathematics

DOI10.1080/00029890.2020.1690387zbMath1471.11221arXiv1907.08894OpenAlexW3008958134MaRDI QIDQ5217609

Junxian Li, Zhaodong Cai, Yuan Zhang, Matthew Faust, Adolf Hildebrand

Publication date: 25 February 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08894

zbMATH Keywords

Benford's law

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Limit theorems in probability theory (60F99) Special sequences (11K31) Calculation of integer sequences (11Y55)

Cites Work

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• Sequences, discrepancies and applications
• The distribution of leading digits and uniform distribution mod 1
• Randomness of the square root of 2 and the giant leap. I
• Randomness of the square root of 2 and the giant leap. II
• Probabilistic Diophantine Approximation
• Benford’s Law, A Growth Industry
• The Strong Law of Small Numbers
• The First Digit Problem
• The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved
• The Significant-Digit Phenomenon
• Leading Digits of Mersenne Numbers
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
• Randomness in lattice point problems

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