Dyson’s lemma without tears. (English) Zbl 0734.11039
The main theorem gives a remarkable and elegant generalization of Dyson’s lemma which has turned out to be a fundamental result due to Bombieri and others. The proof is based upon a skilful and elementary combinatorial argument and it was really done without tears of real suffering.
Reviewer: B.Brindza (Debrecen)
MSC:
| 11J68 | Approximation to algebraic numbers |
| 11G99 | Arithmetic algebraic geometry (Diophantine geometry) |
Keywords:
Dyson’s lemmaReferences:
| [1] | Bombieri, E., On the Thue-Siegel-Dyson Theorem, Acta Math., 148, 255-296 (1982) · Zbl 0505.10015 |
| [2] | Dyson, Freeman J., The approximation of algebraic numbers by rationals, Acta Math., 79, 225-240 (1947) · Zbl 0030.02101 |
| [3] | Viola, Carlo, On Dyson’s Lemma, Ann. Scuola Norm. Sup. Pisa, 12, 105-135 (1985) · Zbl 0596.10032 |
| [4] | Vojta, Paul, Dyson’s lemma for products of two curves of arbitrary genus, Invent. Math., 98, 107-113 (1989) · Zbl 0666.10024 |
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