RESTRICTED SIMULTANEOUS DIOPHANTINE APPROXIMATION
نویسندگان
چکیده
منابع مشابه
Simultaneous Diophantine Approximation
Using a method suggested by E. S. Barnes, it is shown that the simultaneous inequalities r(p — arf < c, r(q — fir) < c have an infinity of integral solutions p, q, r (with r > 0), for arbitrary irrationals a and /3, provided that c > 1/2.6394. This improves an earlier result of Davenport, who shows that the same conclusion holds if c > 1/46"" = 1/2.6043 • • •.
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ژورنال
عنوان ژورنال: Mathematika
سال: 2016
ISSN: 0025-5793,2041-7942
DOI: 10.1112/s0025579316000152