The mean number of divisors for rough, dense and practical numbers

DOI10.1142/s1793042123501142arXiv2104.07137OpenAlexW3155882411MaRDI QIDQ6086893

Andreas J. Weingartner

Publication date: 11 December 2023

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

Full work available at URL: https://arxiv.org/abs/2104.07137

zbMATH Keywords

practical numbersrough numbersdensely divisible numbers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Cites Work

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• Integers with dense divisors 3
• Integers with dense divisors. I
• Les nombres pratiques: Théorie, observations et conjectures. (Practical numbers: Theory, observations, and conjectures)
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• A SIEVE PROBLEM AND ITS APPLICATION
• A Differential Delay Equation Arising from the Sieve of Eratosthenes
• Sur un problème de crible et ses applications
• On the constant factor in several related asymptotic estimates
• The constant factor in the asymptotic for practical numbers
• PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS
• Sums of Distinct Divisors
• Sur une propriété des nombres naturels

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