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A restriction on a theorem of Harsanyi

✍ Scribed by Michael D. Resnik


Publisher
Springer US
Year
1983
Tongue
English
Weight
512 KB
Volume
15
Category
Article
ISSN
0040-5833

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Metrical Theorems on Restricted Diophant
✍ Glyn Harman; Huw Jones πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 133 KB

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)