Meilleures approximations d'un élément du tore double-struck T sign2 et géométrie de la suite des multiples de cet élément

Acta Arithmetica

Volumn 78, Issue 1, 1996, Pages 19-35

  Chevallier, Nicolas ^a  

^a UNIVERSITÉ DE HAUTE ALSACE   (France)

Author keywords

Best simultaneous diophantine approximation; Continued fraction; Metric theory; Rokhlin tower; Vorono diagram

Indexed keywords

EID: 0030459728     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-78-1-19-35     Document Type: Article

References (10)

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2. N. Chevallier, Distances dans la suite des multiples d'un point du tore à deux dimensions, Acta Arith. 74 (1996), 47-59.
3. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., Oxford University Press, 1971.
4. J. C. Lagarias, Some new results in simultaneous Diophantine approximation, in: Proc. of the Queen's Number Theory Conference 1979, P. Ribenboim (ed.), Queen's Papers in Pure and Appl. Math. 54, 1980, 453-474.
5. J. C. Lagarias, Some new results in simultaneous Diophantine approximation, in: Proc. of the Queen's Number Theory Conference 1979, P. Ribenboim (ed.), Queen's Papers in Pure and Appl. Math. 54, 1980, 453-474.
6. _, Best simultaneous Diophantine approximations I. Growth rates of best approximations denominators, Trans. Amer. Math. Soc. 272 (1982), 545-554.
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8. _, Geodesic multidimensional continued fractions, Proc. London Math. Soc. (3) 69 (1994), 464-488.
9. V. G. Sprindžuk, Metric Theory of Diophantine Approximations, V. H. Winston & Sons, Washington, D.C., 1979.
10. G. Szekeres and V. T. Sós, Rational approximation vectors, Acta Arith. 49 (1988), 255-261.