Mahya Mehrabdollahei

activity

20212026

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.NT2024

An exact family of bivariate polynomials and Variants of Chinburg's Conjectures

Marie-José Bertin, Mahya Mehrabdollahei

This article provides some solutions to Chinburg's conjectures by studying a sequence of multivariate polynomials. These conjectures assert that for every odd quadratic Dirichlet C…

math.NT2021

Mahler measure of $P_{d}$ polynomials

Mahya Mehrabdollahei

This article investigates the Mahler measure of a family of 2-variate polynomials, denoted by $P_{d}, d \geq 1$ , unbounded in both degree and genus. By using a closed formula for the…

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

An exact family of bivariate polynomials and Variants of Chinburg's Conjectures

Mahler measure of Pd​ polynomials

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

Mahler measure of $P_{d}$ polynomials