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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… Expand
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Papers overview

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2009
2009
Recently, Dubickas and Smyth constructed and examined the metric Mahler measure and the metric naive height on the multiplicative… Expand
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2006
2006
Our aim is to explain instances in which the value of the logarithmic Mahler measure m(P) of a polynomial P∈Z[x,y] can be written… Expand
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2005
2005
We use graphs to define sets of Salem and Pisot numbers and prove that the union of these sets is closed, supporting a conjecture… Expand
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2005
2005
This paper points at an intriguing inverse function relation with on the one hand the coefficients of the Eisenstein series in… Expand
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2003
2003
The idea behind the workshop was to bring together experts specializing in many different fields: dynamical systems, K-theory… Expand
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Highly Cited
2002
Highly Cited
2002
We continue to investigate the relation between the Mahler measure of certain two variable polynomials, the values of the Bloch… Expand
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2001
2001
Let l be an oriented link of d components in a homology 3-sphere. For any nonnegative integer q, let l(q) be the link of d-1… Expand
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1998
1998
We describe several searches for polynomials with integer coefficients and small Mahler measure. We describe the algorithm used… Expand
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1996
1996
For totally positive algebraic integers α ¬= 0,1 of degree d(α), we consider the set L of values of M(α) 1/d(α) = Ω(α), where M… Expand
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Highly Cited
1990
Highly Cited
1990
SummaryWe compute the joint entropy ofd commuting automorphisms of a compact metrizable group. LetRd = ℤ[u1±1,...,[d1±1] be the… Expand
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