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 2019 · math.NTShow all

3 papers · 2 filters

math.NT2019★ 2 cited

The structure of multiplicative functions with small partial sums

Dimitris Koukoulopoulos, K. Soundararajan

The Landau-Selberg-Delange method provides an asymptotic formula for the partial sums of a multiplicative function whose average value on primes is a fixed complex number $v$ . The…

math.NT2019

Equal sums in random sets and the concentration of divisors

Kevin Ford, Ben Green, Dimitris Koukoulopoulos

We study the extent to which divisors of a typical integer $n$ are concentrated. In particular, defining the Erdős-Hooley $Δ$ -function by $Δ(n) := \max_t \# \{d | n, \log d \in [t,…

math.NT2019

On the Duffin-Schaeffer conjecture

Dimitris Koukoulopoulos, James Maynard

Let $ψ : N \to R_{\geq 0}$ be an arbitrary function from the positive integers to the non-negative reals. Consider the set $A$ of real numbers $α$ for which t…