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On a problem in simultaneous diophantine approximation: Littlewood's conjecture

✍ Scribed by Andrew D. Pollington; Sanju L. Velani

Publisher: Springer Netherlands
Year: 2000
Tongue: English
Weight: 789 KB
Volume: 185
Category: Article
ISSN: 0001-5962
DOI: 10.1007/bf02392812

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Beginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this paper we introduce an alogrithm, in sympathy with the classical continued fraction algorithm, to generate the sequence of best approximates to the system max[&: 0 n&, &: 1 n&, ..., &: L n&] in the case when :