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The Duplication of the Notation for Irrationals

โœ Scribed by Jos. V. Collins

Book ID
123793481
Publisher
Mathematical Association of America
Year
1896
Tongue
English
Weight
231 KB
Volume
3
Category
Article
ISSN
0002-9890

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On the Approximation of Irrationals by R
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โœ Carstenelsner ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 421 KB

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