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On algebraic numbers of small measure

โœ Scribed by A. Dubickas


Publisher
Springer
Year
1995
Tongue
English
Weight
348 KB
Volume
35
Category
Article
ISSN
0363-1672

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๐Ÿ“œ SIMILAR VOLUMES


Algebraic Numbers Close to 1 and Variant
โœ Francesco Amoroso ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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