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

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2011

2011

- Wadim Zudilin
- 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)

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2009

2009

Dubickas and Smyth defined the metric Mahler measure on the multiplicative group of non-zero algebraic numbers. The definition… (More)

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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)

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2004

2004

If the twist numbers of a collection of oriented alternating link diagrams are bounded, then the Alexander polynomials of the… (More)

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2004

2004

- Matilde Lalín
- 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)

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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)

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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… (More)

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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)

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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)

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1998

1998

- Michael J. Mossinghoff
- Math. Comput.
- 1998

We describe several searches for polynomials with integer coefficients and small Mahler measure. We describe the algorithm used… (More)

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