Les nombres pratiques: Théorie, observations et conjectures. (Practical numbers: Theory, observations, and conjectures)

DOI10.1016/S0022-314X(05)80022-8zbMath0715.11001WikidataQ56481974 ScholiaQ56481974MaRDI QIDQ752051

Maurice Margenstern

Publication date: 1991

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

zbMATH Keywords

densitypractical numbersum of distinct divisors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Density, gaps, topology (11B05)

Related Items (16)

A new theorem on the prime-counting function ⋮ Special forms and the distribution of practical numbers ⋮ The number of prime factors of integers with dense divisors ⋮ The mean number of divisors for rough, dense and practical numbers ⋮ Polynomials with divisors of every degree ⋮ Unnamed Item ⋮ On the constant factor in several related asymptotic estimates ⋮ A generalization of the practical numbers ⋮ Practical numbers in Lucas sequences ⋮ An extension of the Siegel-Walfisz theorem ⋮ The constant factor in the asymptotic for practical numbers ⋮ Unnamed Item ⋮ On integers $n$ for which $X^n-1$ has a divisor of every degree ⋮ Practical numbers among the binomial coefficients ⋮ Practical central binomial coefficients ⋮ On primes and practical numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate formulas for some functions of prime numbers
• Sums of Distinct Divisors

This page was built for publication: Les nombres pratiques: Théorie, observations et conjectures. (Practical numbers: Theory, observations, and conjectures)