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Diophantine approximation on planar curves: the convergence theory

โœ Scribed by R.C. Vaughan; S. Velani

Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
377 KB
Volume
166
Category
Article
ISSN
0020-9910

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Metrical Theorems on Restricted Diophant
Metrical Theorems on Restricted Diophantine Approximations to Points on a Curve
โœ Glyn Harman; Huw Jones ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 133 KB

We investigate rational approximations รฐr=p; q=pรž or รฐr=p; q=rรž to points on the curve รฐa; a t รž for almost all a > 0; where p; q; r are all primes. We immediately obtain corollaries on making p; ยฝap; ยฝa t p simultaneously prime. # 2002 Elsevier Science (USA)