David Hokken

activity

20242026

collaborators

3 papers

math.NT2026

Relating Mahler measures and Dirichlet $L$ -values: new evidence for Chinburg's conjectures

David Hokken, Mahya Mehrabdollahei, Berend Ringeling

Let $χ_{- f}$ be the odd quadratic Dirichlet character of conductor $f$ , and let $m (P)$ denote the Mahler measure of a polynomial $P$ . In 1984, Chinburg conjectured that fo…

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.DS2024

Topology of zero sets of polynomials with square discriminant

David Hokken

Let $N \neq = {0}$ be a fixed set of integers, closed under multiplication, closed under negation, or containing ${\pm 1}$ . We prove that any zero of a polynomial in $\…

Relating Mahler measures and Dirichlet L-values: new evidence for Chinburg's conjectures

Irreducibility and Galois groups of random reciprocal polynomials of large degree

Topology of zero sets of polynomials with square discriminant

Relating Mahler measures and Dirichlet $L$ -values: new evidence for Chinburg's conjectures