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On Mahler's U-Numbers

✍ Scribed by Leveque, W. J.


Book ID
118060553
Publisher
Oxford University Press
Year
1953
Tongue
English
Weight
460 KB
Volume
s1-28
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES


Algebraic Numbers Close to 1 and Variant
✍ 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