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On Numbers which are Mahler Measures

✍ Scribed by Artūras Dubickas

Publisher
Springer Vienna
Year
2004
Tongue
English
Weight
213 KB
Volume
141
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES

Which rational numbers are binding numbe
Which rational numbers are binding numbers?
✍ V. G. Kane; S. P. Mohanty; E. G. Straus 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 246 KB

## Abstract The concept of the binding number of a graph was introduced by Woodall in 1973. in this paper we characterize the set __F~n~__ of all pairs (__a, b__) of integers such that there is a graph __G__ with __n__ vertices and binding number __a/b__ that has a realizing set of __b__ vertices.

On the Metric Mahler Measure
On the Metric Mahler Measure
✍ A Dubickas; C.J Smyth 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 176 KB

We define a new height function on the group of non-zero algebraic numbers :, the height of : being the infimum over all products of Mahler measures of algebraic numbers whose product is :. We call this height the metric Mahler measure, since its logarithm defines a metric in the factor group of the