We determine the minimal Mahler measure of a primitive, irreducible, noncyclotomic polynomial with integer coefficients and fixed degree D, for each even degree D ≤ 54. We also compute all primitive, irreducible, noncyclotomic polynomials with measure less than 1.3 and degree at most 44.
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there a...
Abstract. We consider upper and lower bounds on the minimal height of an irrational number lying in ...
Abstract. We investigate upper and lower bounds on the minimal Mahler measure of an irrational numbe...
Let P (x), f(x), and g(x) be polynomials with integer coefficients. Recently, Rhin and Smyth [6] (us...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
In this note we consider various generalizations of the classical Mahler measure M(P) = exp (21π∫02π...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there a...
Abstract. We consider upper and lower bounds on the minimal height of an irrational number lying in ...
Abstract. We investigate upper and lower bounds on the minimal Mahler measure of an irrational numbe...
Let P (x), f(x), and g(x) be polynomials with integer coefficients. Recently, Rhin and Smyth [6] (us...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
In this note we consider various generalizations of the classical Mahler measure M(P) = exp (21π∫02π...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
Abstract. The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P | on the...
summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there a...
Abstract. We consider upper and lower bounds on the minimal height of an irrational number lying in ...