The constant factor in the asymptotic for practical numbers

DOI10.1142/S1793042120500311zbMath1475.11167arXiv1906.07819OpenAlexW2970498437WikidataQ114071952 ScholiaQ114071952MaRDI QIDQ5221474

Andreas J. Weingartner

Publication date: 26 March 2020

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

Full work available at URL: https://arxiv.org/abs/1906.07819

zbMATH Keywords

asymptoticpractical numbersconstant factor

Mathematics Subject Classification ID

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

Related Items (5)

On multiplicative functions additive on Goldbach-type sets ⋮ The mean number of divisors for rough, dense and practical numbers ⋮ An extension of the Siegel-Walfisz theorem ⋮ Practical central binomial coefficients ⋮ On primes and practical numbers

Cites Work

• Les nombres pratiques: Théorie, observations et conjectures. (Practical numbers: Theory, observations, and conjectures)
• Explicit estimates of some functions over primes
• Approximate formulas for some functions of prime numbers
• A SIEVE PROBLEM AND ITS APPLICATION
• On the constant factor in several related asymptotic estimates
• An analytic method for bounding 𝜓(𝑥)
• PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS
• New estimates for some functions defined over primes
• Sums of Distinct Divisors
• Sur une propriété des nombres naturels

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