The distribution of divisors and related problems

Tuesday, October 20, 2015 - 2:00pm
MSB 312
Andreas Weingartner (Southern Utah University)

We will consider questions related to the distribution of divisors of integers, with particular focus on an asymptotic estimate for the number of integers below x whose maximum ratio of consecutive divisors is at most t. Several related results, concerning the divisor graph, practical numbers, the degree distribution of polynomial divisors and the cycle structure of permutations, will also be discussed.