A generalization of the practical numbers

DOI10.1142/S1793042118500902zbMath1448.11175arXiv1701.08504OpenAlexW2585573007WikidataQ114071989 ScholiaQ114071989MaRDI QIDQ4643792

Lola Thompson, Nicholas Schwab

Publication date: 29 May 2018

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

Full work available at URL: https://arxiv.org/abs/1701.08504

zbMATH Keywords

practical numbersmultiplicative arithmetic functionssum-over-divisor functions

Mathematics Subject Classification ID

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

Cites Work

• Polynomials with divisors of every degree
• Integers with dense divisors. I
• Les nombres pratiques: Théorie, observations et conjectures. (Practical numbers: Theory, observations, and conjectures)
• Variations on a question concerning the degrees of divisors of \(x^{n}-1\)
• On integers $n$ for which $X^n-1$ has a divisor of every degree
• On practical numbers
• Sur un problème de crible et ses applications
• PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS
• Sums of Distinct Divisors

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