We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent
polynomial P by monomial substitutions, give rise to sequences of Mahler measures which …

This article is a survey on the topic of polynomial amoebas. We review results of papers
written on the topic with an emphasis on its computational aspects. Polynomial amoebas …

We prove that certain sequences of Laurent polynomials, obtained from a fixed multivariate
Laurent polynomial P by monomial substitutions, give rise to sequences of Mahler measures …

Abstract The Vol‐Det Conjecture relates the volume and the determinant of a hyperbolic
alternating link in S 3. We use exact computations of Mahler measures of two‐variable …

This thesis studies the relations between special values of $ L $-functions of arithmetic
objects and heights, as well as the arithmetic of torsion points on elliptic curves with complex …

A Laurent polynomial in two variables is tempered if its edge polynomials are cyclotomic.
Variation of coefficients leads to a family of smooth complete genus $ g $ curves carrying a …

This article is a survey on the topic of polynomial amoebas. We review results of papers
written on the topic with an emphasis on its computational aspects. Polynomial amoebas …

This article investigates the Mahler measure of a family of 2-variate polynomials, denoted by
P d, for d≥ 1, unbounded in both degree and genus. By using a closed formula for the …

The A-polynomial is a knot invariant related to the space of $ SL_2 (\mathbb {C}) $
representations of the knot group. In this paper our interests lies in the logarithmic Gauss …

We review results of papers written on the topic of polynomial amoebas with an emphasis on
computational aspects of the topic. The polynomial amoebas have a lot of applications in …