Heights of algebraic points lying on curves or hypersurfaces

Proceedings of the American Mathematical Society

Volumn 124, Issue 10, 1996, Pages 3003-3013

  Schmidt, Wolfgang M ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444434463     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03519-8     Document Type: Article

References (8)

1. E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. MR 80i:10040
2. D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. Math. 34 (2) (1933), 461-479.
3. H. P. Schlickewei, Equations ax + by = 1, Annals of Math., (to appear).
4. H. P. Schlickewei and W. M. Schmidt, Linear equations in variables which lie in a multiplicative group, In preparation.
5. H. P. Schlickewei and E. Wirsing, Lower bounds for the heights of solutions of linear equations, Invent. Math. (to appear).
6. W. M. Schmidt, Diophantine Approximation, Springer Lecture Notes in Mathematics 785 (1980). MR 81j:10038
7. D. Zagier, Algebraic numbers close to both 0 and 1, Math. Computation 61 (1993), 485-491. MR 94c:11104
8. S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. 136 (1992), 569-587. MR 93j:14024