Geométrie des suites de kronecker

Manuscripta Mathematica

Volumn 94, Issue 2, 1997, Pages 231-241

  Chevallier, Nicolas ^a  

^a UNIVERSITÉ DE HAUTE ALSACE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031240225     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02677849     Document Type: Article

References (15)

1. L. Babai, On Lovász Lattice Réduction and The Nearest Lattice Point Problem, Combinatorica, 6, 1-13 (1986).
2. J. Beck, On the discrepancy of convex plane sets, Monatshefte für Mathematik 105 no 2, 91-106 (1988) 1.
3. 2 et géométrie de la suite des multiples de cet élément, Acta Arithmetica, LXXXVIII. 1, 19-35 (1996).
4. M.R. Hermann, Sur la conjuguaison différentiable des difféomorphismes du cercle à des rotations, I.H.E.S., Publications Mathématiques, no 49 (1979).
5. J.C. Lagarias, Some New Results in Simultaneous Diophantine Approximation, Proc. of the Queen's Number Theory Conference 1979 (P. Ribenboim, Ed.), Queen's Paper in Pure and Applied Math. No. 54 453-474 (1980).
6. J.C. Lagarias, Best Simultaneous Diophantine Approximations I, Growth Rates of Best Approximations denominators, Trans. Amer. Math. Soc., 72 Number 2, (1982).
7. J.C. Lagarias, Best Simultaneous Diophantine Approximations II, Behavior of Consecutive Best Approximations, Pacific Journal of Mathematics 102 Number 1, (1982).
8. J.C. Lagarias, Geodesic Multidimensional continued Fractions, Proc. London Math. Soc. (3) 69 464-488 (1994).
9. G. Larcher, On the distribution of s-dimensional Kronecker sequences, Acta Arithmetica, LI, 335-347 (1988).
10. G. Larcher, On the distribution of the multiples of an s-tuple of real numbers, Journal of Number Theory 31, 367-372 (1989).
11. W.M. Schmidt, Irregularities of distribution IX, Acta. Arith. 27, 385-396 (1975).
12. V.T. Sos, On the Theory of Diophantine Approximation I, Acta Math. Acad. Sci. Hung. 8, 461-472 (1957).
13. V.T. Sos, On the Theory of Diophantine Approximation, Ann. Univ. Sci. Budapest, Eutvos Sect. Math. 1. 127-134 (1958).
14. W. Stute, Convergence rates for isotrope discrepancy, Ann. Prob, 5, 707-723 (1977).
15. G. Szekeres and V.T. Sós, Rational approximation vectors, Acta Arithmetica, XLIX, 1988.