Add to ORKGAbstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the unit n-torus. A result of Boyd and Lawton says that the Mahler measure of a multivariate polynomial is the limit of Mahler measures of univariate polynomials. We prove the analogous result for different extensions of Mahler measure such as generalized Mahler measure (integrating the maximum of log |P | for possibly different P ’s), multiple Mahler measure (involving products of log |P | for possibly different P ’s), and higher Mahler measure (involving logk |P |). 1
We consider the k-higher Mahler measure $m_k (P) $ of a Laurent polynomial $P$ as the integral of ${...
The Mahler measure of a polynomial in several variables has been a subject of much study over the pa...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expr...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
Ce mémoire s’applique à étudier d’abord, dans la première partie, la mesure de Mahler des polynômes...
Le présent mémoire traite une variation de la mesure de Mahler où l'intégrale de définition est réal...
Dans cette thèse, nous étudions la suite de mesures de Mahler d’une famille de polynômes à deux vari...
AbstractTextWe show that for almost every polynomial P(x,y) with complex coefficients, the differenc...
In this note we consider various generalizations of the classical Mahler measure M(P) = exp (21π∫02π...
We consider the k-higher Mahler measure $m_k (P) $ of a Laurent polynomial $P$ as the integral of ${...
The Mahler measure of a polynomial in several variables has been a subject of much study over the pa...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expr...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
Ce mémoire s’applique à étudier d’abord, dans la première partie, la mesure de Mahler des polynômes...
Le présent mémoire traite une variation de la mesure de Mahler où l'intégrale de définition est réal...
Dans cette thèse, nous étudions la suite de mesures de Mahler d’une famille de polynômes à deux vari...
AbstractTextWe show that for almost every polynomial P(x,y) with complex coefficients, the differenc...
In this note we consider various generalizations of the classical Mahler measure M(P) = exp (21π∫02π...
We consider the k-higher Mahler measure $m_k (P) $ of a Laurent polynomial $P$ as the integral of ${...
The Mahler measure of a polynomial in several variables has been a subject of much study over the pa...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...