@article{CM_1996__101_3_225_0, author = {Evertse, Jan-Hendrik}, title = {An improvement of the quantitative subspace theorem}, journal = {Compositio Mathematica}, pages = {225--311}, publisher = {Kluwer Academic Publishers}, volume = {101}, number = {3}, year = {1996}, mrnumber = {1394517}, zbl = {0856.11030}, language = {en}, url = {http://archive.numdam.org/item/CM_1996__101_3_225_0/} }
Evertse, Jan-Hendrik. An improvement of the quantitative subspace theorem. Compositio Mathematica, Volume 101 (1996) no. 3, pp. 225-311. http://archive.numdam.org/item/CM_1996__101_3_225_0/
1 Some quantitative results related to Roth's theorem, J. Austral. Math. Soc. (Ser. A) 45 (1988), 233-248, Corrigenda, ibid, 48 (1990), 154-155. | MR | Zbl
and :2 On Siegel's Lemma, Invent. Math. 73 (1983), 11-32. | EuDML | MR | Zbl
and :3 Dyson's Lemma for polynomials in several variables (and the theorem of Roth), Invent. Math. 78 (1984), 445-490. | EuDML | MR | Zbl
and :4 On equations in S-units and the Thue-Mahler equation, Invent. Math. 75, 561-584. | EuDML | MR | Zbl
:5 The Subspace theorem of W.M. Schmidt, in: Diophantine approximation and abelian varieties, Edixhoven, B., Evertse, J.-H., eds. Lecture Notes Math. 1566, Springer Verlag, Berlin etc. 1993, Chap. IV. | MR | Zbl
:6 An explicit version of Faltings' Product theorem and an improvement of Roth's lemma, Acta Arith. 73 (1995), 215-248. | EuDML | MR | Zbl
:7 Diophantine approximation on abelian varieties, Annals of Math. 133 (1991), 549-576. | MR | Zbl
:8 Diophantine approximations on projective spaces, Invent. Math. 116 (1994), 109-138. | EuDML | MR | Zbl
and :9 A note on Roth's theorem, J. of Number Theory 36 (1990), 127-132. | MR | Zbl
:10 Algebraic Number Theory, Addison-Wesley, Reading, Massachusetts, 1970. | MR | Zbl
:11 Geometry of numbers in adele spaces, Dissertationes Mathematicae 88, PWN Polish Scient. Publ., Warsaw, 1971. | MR | Zbl
:12 Inequalities for ideal bases in algebraic number fields, J. Austral. Math. Soc. 4 (1964), 425-448. | MR | Zbl
:13 Rational approximations to algebraic numbers, Mathematika 2 (1955), 1-20. | MR | Zbl
:14 The p-adic Thue-Siegel-Roth-Schmidt theorem, Arch. Math. 29 (1977), 267-270. | MR | Zbl
:15 The number of subspaces occurring in the p-adic Subspace Theorem in Diophantine approximation, J. reine angew. Math. 406 (1990), 44-108. | MR | Zbl
:16 The quantitative Subspace Theorem for number fields, Compositio Math. 82 (1992), 245-273. | Numdam | MR | Zbl
:17 Norm form equations, Annals of Math. 96 (1972), 526-551. | MR | Zbl
:18 Diophantine approximation, Lecture Notes in Math. 785, Springer Verlag, Berlin etc., 1980 | MR | Zbl
:19 The subspace theorem in diophantine approximations, Compositio Math. 69 (1989), 121-173. | Numdam | MR | Zbl
:20 Lower bounds for height functions, Duke Math. J. 51 (1984), 395-403. | MR | Zbl
:21 Some effective cases of the Brauer-Siegel Theorem, Invent. Math. 23 (1974), 135-152. | MR | Zbl
: