On integers $n$ for which $X^n-1$ has a divisor of every degree

DOI10.4064/aa8354-6-2016zbMath1364.11143arXiv1511.03357OpenAlexW2963792637MaRDI QIDQ2833597

Lola Thompson, Andreas J. Weingartner, Carl B. Pomerance

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03357

zbMATH Keywords

cyclotomic polynomialpractical number

Mathematics Subject Classification ID

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

Related Items (10)

Character sums over affine spaces and applications ⋮ The number of prime factors of integers with dense divisors ⋮ On the degrees of polynomial divisors over finite fields ⋮ Somewhat smooth numbers in short intervals ⋮ A SIEVE PROBLEM AND ITS APPLICATION ⋮ On the constant factor in several related asymptotic estimates ⋮ A generalization of the practical numbers ⋮ Unnamed Item ⋮ Existence results on \(k\)-normal elements over finite fields ⋮ ON THE DIMENSION OF PERMUTATION VECTOR SPACES

Cites Work

• Unnamed Item
• Integers with dense divisors 3
• Polynomials with divisors of every degree
• On the greatest common divisor of a number and its sum of divisors
• Les nombres pratiques: Théorie, observations et conjectures. (Practical numbers: Theory, observations, and conjectures)
• Sur un problème de crible et ses applications
• PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS
• On the density of some sequences of integers
• Sums of Distinct Divisors

This page was built for publication: On integers $n$ for which $X^n-1$ has a divisor of every degree