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… (More)
Wikipedia

Topic mentions per year

Topic mentions per year

1995-2018
0102019952018

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2011
2011
We prove a conjectured formula relating the Mahler measure of the Laurent polynomial 1 + X + X−1 + Y + Y −1 to the L-series of a… (More)
Is this relevant?
2009
2009
Dubickas and Smyth defined the metric Mahler measure on the multiplicative group of non-zero algebraic numbers. The definition… (More)
Is this relevant?
2005
2005
  • Matilde N. Laĺın
  • 2005
because of Jensen’s equality ∫ 1 0 log |e2πiθ − α|dθ = log + |α| = logmax{1, |α|} It is possible to prove that this integral is… (More)
Is this relevant?
2004
2004
If the twist numbers of a collection of oriented alternating link diagrams are bounded, then the Alexander polynomials of the… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2004
2004
The Mahler measure of the polynomials tðx 1Þy ðx 1Þ 2 C1⁄2x; y is essentially the sum of volumes of a certain collection of ideal… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2004
2004
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… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2003
2003
The idea behind the workshop was to bring together experts specializing in many different fields: dynamical systems, K-theory… (More)
Is this relevant?
2002
2002
Let l be an oriented link of d components with nonzero Alexander polynomial ∆(u1, . . . , ud). Let Λ be a finite-index subgroup… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
Is this relevant?
2000
2000
The purpose of this short note is to give a proof of the following identity between (logarithmic) Mahler measures (1) m(y + 2xy… (More)
Is this relevant?
1998
1998
We describe several searches for polynomials with integer coefficients and small Mahler measure. We describe the algorithm used… (More)
Is this relevant?