@article{ASNSP_2000_4_29_3_711_0, author = {Amoroso, Francesco and Zannier, Umberto}, title = {A relative {Dobrowolski} lower bound over abelian extensions}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {711--727}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 29}, number = {3}, year = {2000}, mrnumber = {1817715}, zbl = {1016.11026}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2000_4_29_3_711_0/} }
TY - JOUR AU - Amoroso, Francesco AU - Zannier, Umberto TI - A relative Dobrowolski lower bound over abelian extensions JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2000 SP - 711 EP - 727 VL - 29 IS - 3 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_2000_4_29_3_711_0/ LA - en ID - ASNSP_2000_4_29_3_711_0 ER -
%0 Journal Article %A Amoroso, Francesco %A Zannier, Umberto %T A relative Dobrowolski lower bound over abelian extensions %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2000 %P 711-727 %V 29 %N 3 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_2000_4_29_3_711_0/ %G en %F ASNSP_2000_4_29_3_711_0
Amoroso, Francesco; Zannier, Umberto. A relative Dobrowolski lower bound over abelian extensions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 29 (2000) no. 3, pp. 711-727. http://archive.numdam.org/item/ASNSP_2000_4_29_3_711_0/
[Am-Da1] Le problème de Lehmer en dimension supérieure, J. reine angew. Math. 513 (1999), 145-179. | MR | Zbl
- ,[Am-Da2] Minoration de la hauteur normalisée des hypersurfaces, Acta Arith. 92 (2000), no. 4, 340-366. | MR | Zbl
- ,[Am-Dv] A lower bound for the height in Abelian extensions, J. Number Theory 80 (2000), no. 2, 260-272. | MR | Zbl
- ,[Bo] Kronecker's theorem and Lehmer's problem for polynomials in several variables, J. Number Theory 13 (1980), 116-121. | MR | Zbl
,[Da-Ph] Minorations des hauteurs normalisées des sous-variétés des tores, Ann. Scuola Norm. Sup. Pisa a. Sci (4) 28 (1999), 489-543. | Numdam | MR | Zbl
- ,[Do] On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. | MR | Zbl
,[Lau] Equations diophantiennes exponentielles, Invent. Math. 78 (1984), 299-327. | MR | Zbl
,[Law] A generalization of a theorem of Kronecker, J. of the Science Faculty of Chiangmai University (Thailand) 4 (1977), 15-23. | Zbl
,[Le] Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933), 461-479. | JFM | MR | Zbl
,[Na] "Elementary and analytic theory of algebraic numbers", Second edition, Springer-Verlag, Berlin, PWN-Polish Scientific Publishers, Warsaw, 1990. | MR | Zbl
,[No] An inequality in the theory of arithmetic on algebraic varieties, Proc. Camb. Philos. Soc. 45 (1949), 502-509. | MR | Zbl
,[Ra] On a theorem of Dobrowolski about the product of conjugate numbers, Colloq. Math. 50 (1985), no. 1, 137-142. | MR | Zbl
,[Ro-Th] An absolute Siegel's lemma, J. reine angew. Math. 476 (1996), 1-12. | MR | Zbl
- ,[Schi] On the product of the conjugates outside the unit circle of an algebraic number, Acta Arith. 24 (1973), 385-399. Addendum, ibid. 26 (1973), 329-361. | MR | Zbl
,[Schm] Diophantine approximations and Diophantine equations", Lecture Notes in Mathematics 1467, Springer-Verlag, Berlin, 1991. | MR | Zbl
, "[Sm] A Kronecker-type theorem for complex polynomials in several variables, Canad. Math. Bull. 24 (1981), 447-452. Errata, ibid. 25 (1982), 504. | MR | Zbl
,[Wa] Introduction to Cyclotomic Fields", Springer-Verlag, New York, 1982. | MR | Zbl
, "[Zh] Positive line bundles on arithmetic surfaces, Ann. of Math. 136 (1992), 569-587. | MR | Zbl
,