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Approximation to Complex numbers by certain biquadratic numbers

✍ Scribed by Collin J. Hightower

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
643 KB
Volume
7
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

On approximation of real numbers by alge
On approximation of real numbers by algebraic numbers of bounded degree
✍ 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