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AnABCinequality for Mahler’s measure

✍ Scribed by Jeffrey D. Vaaler


Book ID
106198654
Publisher
Springer Vienna
Year
2008
Tongue
English
Weight
167 KB
Volume
154
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES


Remarks On Mahler′s Transcendence Measur
✍ M. Hata 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 291 KB

A sightly improved classical transcendence measure for \(e\) will be given, by showing that the absolute constant in Mahler's measure can be taken to be 1 . We also give an improved linear independence measure for the system \(1, e, \ldots, e^{n}\). fr 1995 Academic Press. Inc

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

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✍ Matilde N. Lalín 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 324 KB

The Mahler measures of some n-variable polynomial families are given in terms of special values of the Riemann zeta function and a Dirichlet L-series, generalizing the results of Lalín (J. Number Theory 103 (2003) 85-108). The technique introduced in this work also motivates certain identities among