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

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2 papers · 1 filter

math.NT2024

On Arratia's coupling and the Dirichlet law for the factors of a random integer

Tony Haddad, Dimitris Koukoulopoulos

Let $x \geq 2$ , let $N_{x}$ be an integer chosen uniformly at random from the set $Z \cap [1, x]$ , and let $(V_{1}, V_{2}, \dots)$ be a Poisson--Dirichlet process of parameter $1…

math.NT2024

An almost sharp quantitative version of the Duffin-Schaeffer conjecture

Dimitris Koukoulopoulos, James Maynard, Daodao Yang

We prove a quantitative version of the Duffin-Schaeffer conjecture with an almost sharp error term. Precisely, let $ψ : N \to [0, 1/2]$ be a function such that the series $\sum…