Limit distribution of small points on algebraic tori
Yuri Bilu
Source: Duke Math. J. Volume 89, Number 3
(1997), 465-476.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241205
Mathematical Reviews number (MathSciNet): MR1470340
Zentralblatt MATH identifier: 0918.11035
Digital Object Identifier: doi:10.1215/S0012-7094-97-08921-3
References
[1] P. Billingsley, Convergence of Probability Measures, John Wiley & Sons Inc., New York, 1968.
Mathematical Reviews (MathSciNet): MR38:1718
Zentralblatt MATH: 0172.21201
[2] Yu. Belotserkovskiĭ, Uniform distribution of algebraic numbers near the unit circle, Vestsī Akad. Navuk BSSR Ser. Fīz.-Mat. Navuk (1988), no. 1, 49–52, 124 (Russian).
Mathematical Reviews (MathSciNet): MR89f:11110
Zentralblatt MATH: 0646.10040
[3] E. Bombieri and U. Zannier, Algebraic points on subvarieties of $\bold G\sp n\sb m$, Internat. Math. Res. Notices (1995), no. 7, 333–347.
Mathematical Reviews (MathSciNet): MR96h:11061
Zentralblatt MATH: 0848.11030
Digital Object Identifier: doi:10.1155/S1073792895000250
[4] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), no. 4, 391–401.
Mathematical Reviews (MathSciNet): MR80i:10040
Zentralblatt MATH: 0416.12001
[5] P. Erdös and P. Turan, On the distribution of roots of polynomials, Ann. of Math. (2) 51 (1950), 105–119.
Mathematical Reviews (MathSciNet): MR11,431b
Zentralblatt MATH: 0036.01501
Digital Object Identifier: doi:10.2307/1969500
JSTOR: links.jstor.org
[6] S. Lang, Fundamentals of Diophantine Geometry, Springer-Verlag, New York, 1983.
Mathematical Reviews (MathSciNet): MR85j:11005
Zentralblatt MATH: 0528.14013
[7] M. Laurent, Équations diophantiennes exponentielles, Invent. Math. 78 (1984), no. 2, 299–327.
Mathematical Reviews (MathSciNet): MR86j:11062
Zentralblatt MATH: 0554.10009
Digital Object Identifier: doi:10.1007/BF01388597
[8] M. Mignotte, Sur un théorème de M. Langevin, Acta Arith. 54 (1989), no. 1, 81–86.
Mathematical Reviews (MathSciNet): MR90j:11077
Zentralblatt MATH: 0641.12003
[9] A. L. Onishchik and E. B. Vinberg, Lie Groups and Algebraic Groups, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR91g:22001
Zentralblatt MATH: 0722.22004
[10] W. M. Ruppert, Solving algebraic equations in roots of unity, J. Reine Angew. Math. 435 (1993), 119–156.
Mathematical Reviews (MathSciNet): MR94c:11054
Zentralblatt MATH: 0763.14008
Digital Object Identifier: doi:10.1515/crll.1993.435.119
[11] P. Sarnak and S. Adams, Betti numbers of congruence groups, Israel J. Math. 88 (1994), no. 1-3, 31–72, with an appendix by Z. Rudnik.
Mathematical Reviews (MathSciNet): MR96k:11064
Zentralblatt MATH: 0843.11027
Digital Object Identifier: doi:10.1007/BF02937506
[12] H.-P. Schlickewei, Equations in roots of unity, Acta Arith. 76 (1996), no. 2, 99–108.
Mathematical Reviews (MathSciNet): MR97g:11037
Zentralblatt MATH: 0857.11015
[13] W. M. Schmidt, Heights of algebraic points lying on curves or hypersurfaces, Proc. Amer. Math. Soc. 124 (1996), no. 10, 3003–3013.
Mathematical Reviews (MathSciNet): MR96m:14028
Zentralblatt MATH: 0867.11046
Digital Object Identifier: doi:10.1090/S0002-9939-96-03519-8
JSTOR: links.jstor.org
[14] L. Szpiro, E. Ullmo, and S. Zhang, Équirépartition des petits points, Invent. Math. 127 (1997), no. 2, 337–347.
Mathematical Reviews (MathSciNet): MR98i:14027
Zentralblatt MATH: 0991.11035
Digital Object Identifier: doi:10.1007/s002220050123
[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), no. 203, 485–491.
Mathematical Reviews (MathSciNet): MR94c:11104
Zentralblatt MATH: 0786.11063
Digital Object Identifier: doi:10.2307/2152970
JSTOR: links.jstor.org
[17] S. Zhang, Positive line bundles on arithmetic varieties, J. Amer. Math. Soc. 8 (1995), no. 1, 187–221.
Mathematical Reviews (MathSciNet): MR95c:14020
Zentralblatt MATH: 0861.14018
Digital Object Identifier: doi:10.2307/2152886
JSTOR: links.jstor.org
[18] S. Zhang, Equidistribution of small points on abelian varieties, Ann. Math., to appear.
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