PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS

DOI10.1093/qmath/hav006zbMath1338.11087arXiv1405.2585OpenAlexW2962911624WikidataQ56481975 ScholiaQ56481975MaRDI QIDQ5257993

Andreas J. Weingartner

Publication date: 25 June 2015

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2585

zbMATH Keywords

arithmetic functionspractical numberdistribution of divisors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Goldbach-type theorems; other additive questions involving primes (11P32) Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (21)

Unnamed Item ⋮ A new theorem on the prime-counting function ⋮ The number of prime factors of integers with dense divisors ⋮ The mean number of divisors for rough, dense and practical numbers ⋮ On the degrees of polynomial divisors over finite fields ⋮ Somewhat smooth numbers in short intervals ⋮ A SIEVE PROBLEM AND ITS APPLICATION ⋮ Unnamed Item ⋮ Study of the divisor graph. IV ⋮ On the constant factor in several related asymptotic estimates ⋮ A generalization of the practical numbers ⋮ Set partitions without blocks of certain sizes ⋮ Practical numbers in Lucas sequences ⋮ An extension of the Siegel-Walfisz theorem ⋮ The constant factor in the asymptotic for practical numbers ⋮ Unnamed Item ⋮ Egyptian Fractions with Denominators from Sequences Closed Under Doubling ⋮ 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

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