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Formulas for some diophantine approximation constants

โœ Scribed by T. W. Cusick


Publisher
Springer
Year
1972
Tongue
English
Weight
334 KB
Volume
197
Category
Article
ISSN
0025-5831

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Let (r), r=1, 2, ... be a positive decreasing sequence such that r=1 (r) k diverges. Using a powerful variance argument due to Schmidt, an asymptotic formula is obtained for the number of integer solutions q of the system of Diophantine inequalities max[&qx i &: which holds for almost all points (x