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Metrical Theorems on Restricted Diophantine Approximations to Points on a Curve

✍ Scribed by Glyn Harman; Huw Jones

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
133 KB
Volume
97
Category
Article
ISSN
0022-314X

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✦ Synopsis

We investigate rational approximations ðr=p; q=pÞ or ðr=p; q=rÞ to points on the curve ða; a t Þ for almost all a > 0; where p; q; r are all primes. We immediately obtain corollaries on making p; ½ap; ½a t p simultaneously prime. # 2002 Elsevier Science (USA)

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