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Diophantine approximation of a single irrational number

โœ Scribed by Jingcheng Tong


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
193 KB
Volume
35
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES


A diophantine definition of integers in
โœ Alexandra Shlapentokh ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 568 KB

## Abstract The author considers rings of rational numbers which are integral at all the primes except, possibly, primes contained in a finite set. In such rings a Diophantine definition of โ„ค is constructed to show that all the recursively enumerable subsets of the ring are Diophantine.

The Hausdorff Dimension of Sets Arising
โœ Bryan P. Rynne ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 204 KB

Let m, n be positive integers and let : Z n ร„ R be a non-negative function. Let W(m, n; ) be the set { X # R mn : " : n j=1 x ij q j " < (q), 1 i m, for infinitely many q # Z n = . The Hausdorff dimension of W(m, n; ) is obtained for arbitrary non-negative functions , with no monotonicity assumpti