We prove the conjectural relations between Mahler measures and L-values of elliptic curves of conductors 20 and 24. We also present new hypergeometric expressions for L-values of elliptic curves of conductors 27 and 36. Furthermore, we prove a new functional equation for the Mahler measure of the polynomial family (1+X)(1+Y)(X+Y)−αXY, α∈ℝ
In our recent work with Rogers on resolving some of Boyd’s conjectures on two-variate Mahler measure...
textWe construct families of polynomials of up to five variables whose Mahler measures are given in...
AbstractOur aim is to explain instances in which the value of the logarithmic Mahler measure m(P) of...
We prove a conjectural formula relating the Mahler measure of the Laurent polynomial 1+X+X⁻¹+Y +Y⁻¹ ...
We establish a general identity between the Mahler measures m (Q<sub>k</sub>(x, y)) and m(P<sub>k</s...
We prove Boyd’s “unexpected coincidence” of the Mahler measures for two families of two-variate poly...
In this paper, we will prove several formulas relating hypergeometric functions to lattice sums with...
International audienceIn this article we develop a new method for relating Mahler measures of three-...
Item does not contain fulltextThe Mahler measure is a fascinating notion and an exciting topic in co...
We introduce a formula for the Mahler measure of axy + bx + cy + d with complex coefficients a, b, c...
. Mahler's measure of a polynomial can be written as a logarithmic integral over the torus. We ...
The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expr...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
Résumé. Nous étudions quelques équations fonctionnelles de la mesure de Mahler de familles de co...
In this paper, we study the Mahler measure of a family of reciprocal polynomials depending of a para...
In our recent work with Rogers on resolving some of Boyd’s conjectures on two-variate Mahler measure...
textWe construct families of polynomials of up to five variables whose Mahler measures are given in...
AbstractOur aim is to explain instances in which the value of the logarithmic Mahler measure m(P) of...
We prove a conjectural formula relating the Mahler measure of the Laurent polynomial 1+X+X⁻¹+Y +Y⁻¹ ...
We establish a general identity between the Mahler measures m (Q<sub>k</sub>(x, y)) and m(P<sub>k</s...
We prove Boyd’s “unexpected coincidence” of the Mahler measures for two families of two-variate poly...
In this paper, we will prove several formulas relating hypergeometric functions to lattice sums with...
International audienceIn this article we develop a new method for relating Mahler measures of three-...
Item does not contain fulltextThe Mahler measure is a fascinating notion and an exciting topic in co...
We introduce a formula for the Mahler measure of axy + bx + cy + d with complex coefficients a, b, c...
. Mahler's measure of a polynomial can be written as a logarithmic integral over the torus. We ...
The logarithmic Mahler measure of an n-variable Laurent polynomial, P(x1,...,xn) is defined by [expr...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
Résumé. Nous étudions quelques équations fonctionnelles de la mesure de Mahler de familles de co...
In this paper, we study the Mahler measure of a family of reciprocal polynomials depending of a para...
In our recent work with Rogers on resolving some of Boyd’s conjectures on two-variate Mahler measure...
textWe construct families of polynomials of up to five variables whose Mahler measures are given in...
AbstractOur aim is to explain instances in which the value of the logarithmic Mahler measure m(P) of...
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