On integers $n$ for which $X^n-1$ has a divisor of every degree
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Publication:2833597
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
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
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