Approximation to real numbers by cubic algebraic integers I

Proceedings of the London Mathematical Society

Volumn 88, Issue 1, 2004, Pages 42-62

  Roy, Damien ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1442279638     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S002461150301428X     Document Type: Conference Paper

References (10)

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2. Y. BUGEAUD and O. TEULIÉ, 'Approximation d'un nombre réel par des nombres algébriques de degré donné', Acta Arith. 93 (2000) 77-86.
3. J. W. S. CASSELS. An introduction to Diophantine approximation (Cambridge University Press, 1957).
4. H. DAVENPORT and W. M. SCHMIDT, 'Approximation to real numbers by quadratic irrationals', Acta Arith. 13 (1967) 169-176.
5. H. DAVENPORT and W. M. SCHMIDT, 'Approximation to real numbers by algebraic integers', Acta Arith. 15 (1969) 393-416.
6. M. LAURENT and D. ROY, 'Criteria of algebraic independence with multiplicities and interpolation determinants', Trans. Amer. Math. Soc. 351 (1999) 1845-1870.
7. M. LOTHAIRE, Combinatorics on words, Encyclopedia of Mathematics and its Applications 17 (Addison-Wesley, Reading, MA, 1983).
8. D. ROY. 'Approximation simultanée d'un nombre et de son carré', C. R. Acad. Sci. Paris Sér. 7336 (2003) 1-6.
9. W. M. SCHMIDT. Diophantine approximation. Lecture Notes in Mathematics 785 (Springer, Berlin, 1980).
10. E. WIRSING, 'Approximation mit algebraischen Zahlen beschränkten Grades', J. reine angew. Math. 206 (1961) 67-77.