[1]
Arratia, R., Barbour, A. D. and Tavaré, S.
Random combinatorial structures and prime factorizations. Not. Amer. Math. Soc.
44 (1997), 903–910.
[2]
Cheer, A. Y. and Goldston, D. A.
A differential delay equation arising from the sieve of Eratosthenes. Math. Comp.
55 (1990), 129–141.
[3]
Dixmier, J. and Nicolas, J.-L.. Partitions without small parts. Number Theory, Vol. I (Budapest, 1987), 9–33, Colloq. Math. Soc. János Bolyai, 51 (North-Holland, Amsterdam, 1990).
[4]
Erdős, P. and Szalay, M.. On some problems of J. Dénes and P. Turán, Stud. Pure Math. (Birkhäuser, Basel, 1983), 187–212.
[5]
Flajolet, P. and Sedgewick, R.
Analytic Combinatorics (Cambridge University Press, 2009).
[6]
Gao, S. and Panario, D.
Tests and constructions of irreducible polynomials over finite fields. Foundations of Computational Mathematics (Rio de Janeiro, 1997), (Springer, Berlin, 1997), 346–361.
[8]
Lidl, R. and Niederreiter, H.
Finite Fields. Encyclopedia Math. Appli. Vol. 20 (Cambridge University Press, 1997).
[9]
Manstavičius, E.
On permutations missing short cycles. Lietuvos matem. rink., spec. issue, 42 (2002), 1–6.
[10]
Manstavičius, E. and Petuchovas, R.. Local probabilities and total variation distance for random permutations, to appear in Ramanujan J.
[11]
Panario, D. and Richmond, B.
Analysis of Ben-Or's polynomial irreducibility test. Random Structures Algorithms
13 (1998), 439–456.
[12]
Pollack, P. and Thompson, L.
On the degrees of divisors of Tn
- 1. New York J. Math.
19 (2013), 91–116.
[13]
Pomerance, C., Thompson, L. and Weingartner, A. On integers n for which Xn
- 1 has a divisor of every degree, arXiv:1511:03357.
[14]
Rudnick, Z. Some problems in analytic number theory for polynomials over a finite field, arXiv:1501.01769.
[15]
Saias, E.
Entiers à diviseurs denses 1. J. Number Theory
62 (1997), 163–191.
[16]
Tenenbaum, G.
Sur un problème de crible et ses applications. Ann. Sci. École Norm. Sup.
(4)
19 (1986), 1–30.
[17]
Tenenbaum, G.
Sur un problème de crible et ses applications, 2. Corrigendum et étude du graphe divisoriel. Ann. Sci. École Norm. Sup.
(4)
28 (1995), 115–127.
[18]
Tenenbaum, G.
Introduction to Analytic and Probabilistic Number Theory. Camb. Stud. Adv. Math., Vol. 46 (Cambridge University Press, 1995).
[19]
Thompson, L.
Polynomials with divisors of every degree. J. Number Theory
132 (2012), 1038–1053.
[20]
Thompson, L.
On the divisors of x
n
−1 in F
p
[x]. Int. J. Number Theory
9 (2013), 421–430.
[21]
Warlimont, R.
Arithmetical semigroups II: sieving by large and small prime elements. Sets of multiples. Manuscripta Math.
71 (1991), 197–221.
[22]
Weingartner, A.
Integers with dense divisors 3. J. Number Theory
142 (2014), 211–222.
[23]
Weingartner, A.
Practical numbers and the distribution of divisors. Q. J. Math.
66 (2015), 743–758.