Dimitris Koukoulopoulos

activity

20082026

most citedPretentious multiplicative functions and the prime number theorem for arithmetic progressions

25 citations · 200 across the 28 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016

Sieve weights and their smoothings

Andrew Granville, Dimitris Koukoulopoulos, James Maynard

We obtain asymptotic formulas for the $2 k$ th moments of partially smoothed divisor sums of the Möbius function. When $2 k$ is small compared with $A$ , the level of smoothing, then t…

math.GR2016★ 12 cited

Permutations contained in transitive subgroups

Sean Eberhard, Kevin Ford, Dimitris Koukoulopoulos

In the first paper in this series we estimated the probability that a random permutation $π \in S_{n}$ has a fixed set of a given size. In this paper, we elaborate on the sam…