1 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
Relating Mahler measures and Dirichlet -values: new evidence for Chinburg's conjectures
David Hokken, Mahya Mehrabdollahei, Berend Ringeling
Let be the odd quadratic Dirichlet character of conductor , and let denote the Mahler measure of a polynomial . In 1984, Chinburg conjectured that fo…
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…
Limits of Mahler measures in multiple variables
François Brunault, Antonin Guilloux, Mahya Mehrabdollahei +1
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P by monomial substitutions, give rise to sequences of Mahler measures which conver…
Mahler measure of polynomials
Mahya Mehrabdollahei
This article investigates the Mahler measure of a family of 2-variate polynomials, denoted by , unbounded in both degree and genus. By using a closed formula for the…