Limits of Mahler measures in multiple variables - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Limits of Mahler measures in multiple variables

Résumé

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 converge to the Mahler measure of P. This generalizes previous work of Boyd and Lawton, who considered univariate monomial substitutions. We provide moreover an explicit upper bound for the error term in this convergence, generalizing work of Dimitrov and Habegger, and a full asymptotic expansion for a family of 2-variable polynomials, whose Mahler measures were studied independently by the third author.
Fichier principal
Vignette du fichier
main_version_hal.pdf (389.39 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03615999 , version 1 (22-03-2022)

Identifiants

Citer

François Brunault, Antonin Guilloux, Mahya Mehrabdollahei, Riccardo Pengo. Limits of Mahler measures in multiple variables. 2022. ⟨hal-03615999⟩
90 Consultations
116 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More