A Gel'fond type criterion in degree two

Acta Arithmetica

Volumn 111, Issue 1, 2004, Pages 97-103

  Arbour, Benoit ^a,b   Roy, Damien ^a,c  

^a McGill University ^*

^b MCGILL UNIVERSITY   (Canada)

^c UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044414493     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa111-1-7     Document Type: Article

References (7)

1. W. D. Brownawell, Sequences of diophantine approximations, J. Number Theory 6 (1974), 11-21.
2. Y. Bugeaud et O. Teulié, Approximation d'un nombre réel par des nombres algé briques de degré donné, Acta Arith. 93 (2000), 77-86.
3. H. Davenport and W. M. Schmidt, Approximation to real numbers by quadratic irrationals, ibid. 13 (1967), 169-176.
4. _, _, Approximation to real numbers by algebraic integers, ibid. 15 (1969), 393-416.
5. M. Laurent and D. Roy, Criteria of algebraic independence with multiplicities and interpolation determinants, Trans. Amer. Math. Soc. 351 (1999), 1845-1870.
6. D. Roy, Approximation to real numbers by cubic algebraic integers I, Proc. London Math. Soc., to appear; arXiv:math.NT/0210181.
7. D. Roy and M. Waldschmidt, Diophantine approximation by conjugate algebraic integers, Compositio Math., to appear; arXiv:math.NT/0207102.