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A “metric” approach to some diophantine inequalities

✍ Scribed by P. Shein

Publisher
Springer
Year
1978
Tongue
English
Weight
265 KB
Volume
18
Category
Article
ISSN
0363-1672

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📜 SIMILAR VOLUMES

A unified approach to some inequalities
A unified approach to some inequalities of Ostrowski-Grüss type
✍ Shijun Yang 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 425 KB

Based on the Euler-Maclaurin formula in the spirit of [1], we provide a unified approach to some inequalities of Ostrowski-Griiss type, which include some existing results as special cases. Some illustrative examples are also included.

Metrical Theorems on Restricted Diophant
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✍ Glyn Harman; Huw Jones 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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)