On the distribution of the digits of quotients of integers and primes

DOI10.4153/S0008439521000278zbMath1502.11104arXiv2008.09971OpenAlexW3160764244MaRDI QIDQ5079411

Remis Tonon, Alessandro Gambini, Alessandro Zaccagnini

Publication date: 27 May 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.09971

zbMATH Keywords

lattice pointselementary probabilityquotient of random integers

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Lattice points in specified regions (11P21) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Uses Software

• DLMF

Cites Work

• Probability of digits by dividing random numbers: a \(\psi\) and \(\zeta\) functions approach
• Ratio sets of random sets
• Quotient and product sets of thin subsets of the positive integers
• The number of rational numbers determined by large sets of integers
• Prime numbers with a positive proportion of preassigned digits
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item