The subspace theorem in diophantine approximations
Compositio Mathematica, Tome 69 (1989) no. 2, p. 121-173
@article{CM_1989__69_2_121_0,
author = {Schmidt, Wolfgang M.},
title = {The subspace theorem in diophantine approximations},
journal = {Compositio Mathematica},
volume = {69},
number = {2},
year = {1989},
pages = {121-173},
zbl = {0683.10027},
mrnumber = {984633},
language = {en},
url = {http://www.numdam.org/item/CM_1989__69_2_121_0}
}

Schmidt, Wolfgang M. The subspace theorem in diophantine approximations. Compositio Mathematica, Tome 69 (1989) no. 2, pp. 121-173. http://www.numdam.org/item/CM_1989__69_2_121_0/

1 E. Bombieri and J. Vaaler, On Siegel's lemma. Invent. Math. 73 (1983) 11-32. | MR 707346 | Zbl 0533.10030

2 E. Bombieri and A.J. Van Der Poorten, Some quantitative results related to Roth's Theorem. MacQuarie Math. Reports, Report No. 87-0005, February 1987.

3 J.W.S. Cassels, An Introduction to the Geometry of Numbers. Springer Grundlehren 99 (1959). | Zbl 0086.26203

4 H. Davenport, Note on a result of Siegel. Acta Arith. 2 (1937) 262-265. | JFM 63.0922.01

5 H. Davenport and K.F. Roth, Rational approximation to algebraic numbers. Mathematika 2 (1955) 160-167. | MR 77577 | Zbl 0066.29302

6 H. Esnault and E. Viehweg, Dyson's Lemma for polynomials in several variables (and the theorem of Roth). Invent. Math. 78 (1984) 445-490. | MR 768988 | Zbl 0545.10021

7 J.H. Evertse, Upper bounds for the number of solutions of Diophantine equations. Math. Centrum, Amsterdam (1983) 1-127. | MR 726562 | Zbl 0517.10016

8 K. Mahler, Ein Übertragungsprinzip für konvexe Körper. Časopis Pest. Mat. Fys. (1939) 93-102. | JFM 65.0175.02 | MR 1242 | Zbl 0021.10403

9 K. Mahler, On compound convex bodies I. Proc. Lon. Math. Soc. (3) 5, 358-379. | MR 74460 | Zbl 0065.28002

10 W.M. Schmidt, On heights of algebraic subspaces and diophantine approximations. Annals of Math. 83 (1967) 430-472. | MR 213301 | Zbl 0152.03602

11 W.M. Schmidt, Norm form equations. Annals of Math. 96 (1972) 526-551. | MR 314761 | Zbl 0226.10024

12 W.M. Schmidt, The number of solutions of norm form equations. Transactions A.M.S. (to appear). | MR 961596 | Zbl 0693.10014

13 W.M. Schmidt, Diophantine approximation. Springer Lecture Notes in Math. 785, Berlin, Heidelberg, New York (1980). | MR 568710 | Zbl 0421.10019