Dirichlet, Sierpiński, and Benford

DOI10.1016/j.jnt.2021.12.010zbMath1505.11021OpenAlexW4206942763WikidataQ114156610 ScholiaQ114156610MaRDI QIDQ2672008

Akash Singha Roy, Paul Pollack

Publication date: 8 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.12.010

zbMATH Keywords

primesbasesBenford's lawdigits

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Distribution of primes (11N05) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (2)

Benford behavior and distribution in residue classes of large prime factors ⋮ Intermediate prime factors in specified subsets

Cites Work

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• Pretentiousness in analytic number theory
• Geometric and analytic number theory. Transl. from the German by Rudolf Taschner
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• Benford’s law for coefficients of modular forms and partition functions
• Sur les nombres premiers ayant des chiffres initiaux et finals donnés
• Primes with preassigned digits
• Primes with preassigned digits II
• Simple Analytic Proof of the Prime Number Theorem
• Prime numbers with a positive proportion of preassigned digits
• Number Theory, Fourier Analysis and Geometric Discrepancy
• Fast growing sequences of numbers and the first digit phenomenon
• An Introduction to Benford's Law
• Benford's Law
• The mantissa distribution of the primorial numbers
• Initial Digits for the Sequence of Primes

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