Approximation to real numbers by cubic algebraic integers. II

Annals of Mathematics

Volumn 158, Issue 3, 2003, Pages 1081-1087

  Roy, Damien ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1442308243     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2003.158.1081     Document Type: Article

References (7)

1. J.-P. ALLOUCHE, J. L. DAVISON, M. QUEFFÉLEC, and L. Q. ZAMBONI, Transcendence of Sturmian or morphic continued fractions, J. Number Theory 91 (2001), 39-66.
2. H. DAVENPORT and W. M. SCHMIDT, Approximation to real numbers by quadratic irrationals, Acta Arith. 13 (1967), 169-176.
3. _, Approximation to real numbers by algebraic integers, Acta Arith. 15 (1969), 393-416.
4. M. LAURENT, Simultaneous rational approximation to the successive powers of a real number. Indag. Math. 11 (2003), 45-53.
5. D. ROY, Approximation simultanée d'un nombre et de son carré, C. R. Acad. Sci., Paris, ser. I 336 (2003), 1-6.
6. _, Approximation to real numbers by cubic algebraic integers I, Proc. London Math. Soc. 88 (2004), 42-62; arXiv:math.NT/0210181.
7. W. M. SCHMIDT, Diophantine Approximation, Lecture Notes in Math. 785, Springer-Verlag, New York, 1980.