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
On coalgebra of real numbers
✍ Scribed by D. Pavlović; V. Pratt
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 196 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1571-0661
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📜 SIMILAR VOLUMES
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We show that the Pythagoras number of a real analytic ring of dimension 2 is finite, bounded by a function of the multiplicity and the codimension.
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