Add to ORKGInternational audienceIf the total degree of a polynomial in n ≥ 2 variables of dimension n s bounded by a double exponential function in n, we show that its Mahler measure is bounded from below by an absolute constant 1
In this thesis we investigate the sequence of Mahler measures of a family of bivariate regular exact...
We prove Schinzel’s theorem about the lower bound of the Mahler measure of totally real polynomials....
AbstractThe Mahler measures of certain polynomials of up to five variables are given in terms of mul...
International audienceIf the total degree of a polynomial in n ≥ 2 variables of dimension n s bounde...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
In [1] Jeff Vaaler and Shey-Jey Chern introduced two families of analytic functions to study the ran...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
Dans cette thèse, nous étudions la suite de mesures de Mahler d’une famille de polynômes à deux vari...
We consider the k-higher Mahler measure $m_k (P) $ of a Laurent polynomial $P$ as the integral of ${...
International audienceWe study a class of two-variable polynomials called exact polynomials which co...
Mahler\u27s measure is a function defined on polynomials, which measures the extent to which their r...
In this note we consider various generalizations of the classical Mahler measure M(P) = exp (21π∫02π...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We introduce a formula for the Mahler measure of axy + bx + cy + d with complex coefficients a, b, c...
In this thesis we investigate the sequence of Mahler measures of a family of bivariate regular exact...
We prove Schinzel’s theorem about the lower bound of the Mahler measure of totally real polynomials....
AbstractThe Mahler measures of certain polynomials of up to five variables are given in terms of mul...
International audienceIf the total degree of a polynomial in n ≥ 2 variables of dimension n s bounde...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
In [1] Jeff Vaaler and Shey-Jey Chern introduced two families of analytic functions to study the ran...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
Dans cette thèse, nous étudions la suite de mesures de Mahler d’une famille de polynômes à deux vari...
We consider the k-higher Mahler measure $m_k (P) $ of a Laurent polynomial $P$ as the integral of ${...
International audienceWe study a class of two-variable polynomials called exact polynomials which co...
Mahler\u27s measure is a function defined on polynomials, which measures the extent to which their r...
In this note we consider various generalizations of the classical Mahler measure M(P) = exp (21π∫02π...
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P b...
We introduce a formula for the Mahler measure of axy + bx + cy + d with complex coefficients a, b, c...
In this thesis we investigate the sequence of Mahler measures of a family of bivariate regular exact...
We prove Schinzel’s theorem about the lower bound of the Mahler measure of totally real polynomials....
AbstractThe Mahler measures of certain polynomials of up to five variables are given in terms of mul...