Mahler measure

In mathematics, the Mahler measure of a polynomial with complex coefficients is defined as where factorizes over the complex numbers as The Mahler…

Papers overview

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2019

2017

We give a lower bound of the Mahler measure on a set of polynomials that are ‘almost’ reciprocal. Here ‘almost’ reciprocal means…

2017

We show that (under mild assumptions) the generating function of log homology torsion of a knot exterior has a meromorphic…

2016

The complexity of a finite connected graph is its number of spanning trees; for a non-connected graph it is the product of…

2016

f(x) = a(x− α1) . . . (x− αn) ∈ C[x], where a 6= 0, its Mahler measure is defined by M(f) := |a| ∏n j=1 max{1, |αj |}. If f(x…

2012

We study the Mahler measure of the three-variable Laurent poly- nomial x +1 /x + y +1 /y + z +1 /z − k where k is a parameter…

2011

We prove sieve-type lower bounds for the Mahler measure of polynomials on subarcs of the unit circle of the complex plane. This…

2006

The purpose of this short note is to give a proof of the following identity between (logarithmic) Mahler measures m(y^2+2xy+y-x^3…

2004

We prove a conjecture of Boyd by showing that the logarithmic Mahler measure of a certain integer polynomial in three variables…

1998

The theory of heights for rational points on arithmetic elliptic curves is becoming well known. An important fact in the basic…