Limit distribution of small points on algebraic tori

Duke Mathematical Journal

Volumn 89, Issue 3, 1997, Pages 465-476

  Bilu, Yuri ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001603045     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-97-08921-3     Document Type: Article

References (18)

1. P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968.
2. Yu. Bilu (Belotserkovski), Uniform distribution of algebraic numbers near the unit circle (in Russian), Vestsī Akad. Navuk Belarusī Ser. Fīz. Mat. Navuk (1988), 49-52, 124.
3. m, IMRN (Intemat. Math. Res. Notices) 1995, 333-347.s
4. E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401.
5. P. Erdös and P. Turan, On the distribution of roots of polynomials, Ann. of Math. (2) 51 (1950), 105-119.
6. S. Lang, Fundamentals of Diophantine Geometry, Springer-Verlag, Berlin, 1983.
7. M. Laurent, Équations diophantiennes exponentielles, Invent. Math. 78 (1984), 299-327.
8. M. Mignotte, Sur un théorème de M. Langevin, Acta Arith. 54 (1989), 81-86.
9. A. L. Onishchik and E. B. Vinberg, Lie Groups and Algebraic Groups, Springer-Verlag, Berlin, 1990.
10. W. M. Ruppert, Solving algebraic equations in roots of unity, J. Reine Angew. Math. 435 (1993), 119-156.
11. P. Sarnak and S. Adams, Betti numbers of congruence groups with an appendix by Z. Rudnik, Israel J. Math. 88 (1994), 31-72.
12. H.-P. Schlickewei, Equations in roots of unity, Acta Arith. 76 (1996), 99-108.
13. W. M. Schmidt, Heights of algebraic points lying on curves or hypersurfaces, Proc. Amer. Math. Soc. 124 (1996), 3003-3013.
14. L. Szpiro, E. Ullmo, and S. Zhang, Èquirépartition des petits points, Invent. Math. 127 (1997), 337-347.
15. E. Ullmo, A propos de la conjecture de Bogomolov, Ann. Math., to appear.
16. D. Zagier, Algebraic numbers close to both 0 and 1, Math. Comp. 61 (1993), 485-491.
17. S. Zhang, Positive line bundles on arithmetic varieties, J. Amer. Math. Soc. 8 (1995), 187-221.
18. S. Zhang, Equidistribution of small points on abelian varieties, Ann. Math., to appear.