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On the measure of approximation of the number π by algebraic numbers

✍ Scribed by Y. M. aleksentsev

Book ID
110620904
Publisher
SP MAIK Nauka/Interperiodica
Year
1999
Tongue
English
Weight
410 KB
Volume
66
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES

On approximation of real numbers by alge
On approximation of real numbers by algebraic numbers of bounded degree
✍ Kiryl I. Tsishchanka 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 228 KB

Dirichlet proved that for any real irrational number ξ there exist infinitely many rational numbers p/q such that |ξp/q| < q -2 . The correct generalization to the case of approximation by algebraic numbers of degree n, n > 2, is still unknown. Here we prove a result which improves all previous esti