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Thet-metric Mahler measures of surds and rational numbers

✍ Scribed by Jonas Jankauskas; Charles L. Samuels

Publisher
Akadmiai Kiad
Year
2011
Tongue
English
Weight
582 KB
Volume
134
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

Algebraic Numbers Close to 1 and Variant
Algebraic Numbers Close to 1 and Variants of Mahler's Measure
✍ Francesco Amoroso πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 566 KB

Given a rational function R and a real number p 1, we define h p (R) as the L p norm of max[log |R|, 0] on the unit circle. In this paper we study the behaviour of h p (R) providing various bounds for it. Our results lead to an explicit construction of algebraic numbers close to 1 having small Mahle