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On a simultaneous approximation of logarithms and algebraic powers of algebraic numbers

✍ Scribed by A. A. Shmelev


Publisher
SP MAIK Nauka/Interperiodica
Year
1994
Tongue
English
Weight
446 KB
Volume
56
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


On approximation of real numbers by alge
✍ Kiryl I. Tsishchanka πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 228 KB

Dirichlet proved that for any real irrational number ΞΎ there exist infinitely many rational numbers p/q such that |ΞΎp/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