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 2014Show all

4 papers · 1 filter

math.NT2014★ 8 cited

Best possible densities of Dickson m-tuples, as a consequence of Zhang-Maynard-Tao

Andrew Granville, Daniel M. Kane, Dimitris Koukoulopoulos +1

We determine for what proportion of integers $h$ one now knows that there are infinitely many prime pairs $p, p + h$ as a consequence of the Zhang-Maynard-Tao theorem. We consider t…

math.NT2014★ 25 cited

The frequency and the structure of large character sums

Jonathan Bober, Leo Goldmakher, Andrew Granville +1

Let $M (χ)$ denote the maximum of $∣ \sum_{n \leq N} χ (n) ∣$ for a given non-principal Dirichlet character $χ (mod q)$ , and let $N_{χ}$ denote a point at which the maximum is attained. In t…

math.NT2014★ 6 cited

The frequency of elliptic curve groups over prime finite fields

Vorrapan Chandee, Chantal David, Dimitris Koukoulopoulos +1

Letting $p$ vary over all primes and $E$ vary over all elliptic curves over the finite field $F_{p}$ , we study the frequency to which a given group $G$ arises as a group of…

math.NT2014★ 9 cited

Primes in short arithmetic progressions

Dimitris Koukoulopoulos

Let $x, h$ and $Q$ be three parameters. We show that, for most moduli $q \leq Q$ and for most positive real numbers $y \leq x$ , every reduced arithmetic progression $a mod q$ has approx…