Dimitris Koukoulopoulos

collaborators

4 papers

math.NT2026

A logarithmic structure theorem for multiplicative functions with small partial sums

Dimitris Koukoulopoulos

Let $D \in N$ , let $A > D + 1$ , and let $Q ⩾ 3$ . Consider the class of multiplicative functions $f : N \to C$ such that $|\sum_{n\leqslant x}f(n)|\le x(\log…

math.NT2025

Irreducibility and Galois groups of random reciprocal polynomials of large degree

David Hokken, Dimitris Koukoulopoulos

Let $A = a_{0} T^{m} + \sum_{j = 1}^{m - 1} a_{j} (T^{m - j} + T^{m + j}) + T^{2 m} + 1 \in Z [T]$ be a monic reciprocal polynomial of degree $2 m$ sampled randomly by selecting its coefficient…

math.NT2025

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.NT2025

ErdÅs's integer dilation approximation problem and GCD graphs

Dimitris Koukoulopoulos, Youness Lamzouri, Jared Duker Lichtman

Let $A \subset R_{⩾ 1}$ be a countable set such that $lim sup_{x \to \infty} \frac{1}{l o g x} \sum_{I^\pm \in A \cap [1, x]} \frac{1}{I ^} \pm > 0$ . We prove that, for…

A logarithmic structure theorem for multiplicative functions with small partial sums

Irreducibility and Galois groups of random reciprocal polynomials of large degree

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

ErdÅs's integer dilation approximation problem and GCD graphs

ErdÅs's integer dilation approximation problem and GCD graphs