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Vectorial approximation by restricted rationals

โœ Scribed by Alex Bacopoulos; G. D. Taylor


Publisher
Springer
Year
1969
Tongue
English
Weight
743 KB
Volume
3
Category
Article
ISSN
1433-0490

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Let be a real irrational number, and a 2 0, b 2 0 , a > 1 be integers. A theorem of S. UCHIYAMA states that there are infinitely many pairs of integers u and v # 0 such that provided that it is not a z b z 0 mod s. It is shown that this result is best-possible for all integers s > 1. 1991 Mathemati