scientific article; zbMATH DE number 897262
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Publication:4884650
zbMath0856.11030MaRDI QIDQ4884650
Publication date: 10 November 1996
Full work available at URL: http://www.numdam.org/item?id=CM_1996__101_3_225_0
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subspace theorem\(S\)-unit equationsDyson's lemmadecomposable form equationslinear forms with algebraic coefficientsRoth's lemmanumber of solutions of norm form equations
Units and factorization (11R27) Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Multiplicative and norm form equations (11D57) Products of linear forms (11H46)
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Cites Work
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- On Siegel's lemma
- Dyson's lemma for polynomials in several variables (and the theorem of Roth)
- Diophantine approximation on abelian varieties
- On equations in S-units and the Thue-Mahler equation
- Lower bounds for height functions
- Diophantine approximation
- The \(\mathfrak p\)-adic Thue-Siegel-Roth-Schmidt theorem
- Diophantine approximations on projective spaces
- Some effective cases of the Brauer-Siegel theorem
- Norm form equations
- A note on Roth's theorem
- The number of subspaces occurring in the p-adic subspace theorem in diophantine approximation.
- An explicit version of Faltings' Product Theorem and an improvement of Roth's lemma
- Inequalities for ideal bases in algebraic number fields
- Rational approximations to algebraic numbers
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