Evaluations of the areal Mahler measure of multivariable polynomials

DOI10.1016/j.jnt.2023.07.006arXiv2306.15727MaRDI QIDQ6048604

Publication date: 11 October 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.15727

zbMATH Keywords

height Mahler measure zeta values $L$-values

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Heights (11G50) Zeta functions and (L)-functions of number fields (11R42) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Polynomials and rational functions of one complex variable (30C10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
The parity theorem for multiple polylogarithms
An areal analog of Mahler's measure
Limiting value of higher Mahler measure
Zeta Mahler measures
A class of series acceleration formulae for Catalan's constant
A simple proof of the functional relation for the Lerch type Tornheim double zeta function
Special zeta Mahler functions
The Mahler measure and its areal analog for totally positive algebraic integers
On multiple higher Mahler measures and Witten zeta values associated with semisimple Lie algebras
Two inequalities on the areal Mahler measure
Mahler measures and computations with regulators
A Generalization of a Theorem of Boyd and Lawton
LOG-SINE EVALUATIONS OF MAHLER MEASURES
Asymptotic nature of higher Mahler measure
On the Mahler Measure of 1+X+1/X+Y +1/Y
On multiple higher Mahler measures and multiple L values
Higher Mahler measure of an $n$-variable family
Zeta Mahler measures, multiple zeta values and L-values
Higher Mahler measures and zeta functions
On Measures of Polynomials in Several Variables: Corrigendum
Speculations Concerning the Range of Mahler's Measure
Two sharp inequalities for the norm of a factor of a polynomial
Mahler's Measure and Special Values of L-functions
Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables
GENERALIZED MAHLER MEASURES AND MULTIPLE SINE FUNCTIONS
Log-Sine Evaluations of Mahler Measures, II
A reduction formula for length-two polylogarithms and some applications
Many Variations of Mahler Measures

This page was built for publication: Evaluations of the areal Mahler measure of multivariable polynomials