The Number of Solutions of Norm Form Equations

DOI10.2307/2001459zbMath0693.10014OpenAlexW4246028189MaRDI QIDQ3035370

Wolfgang M. Schmidt

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001459

zbMATH Keywords

number of solutionsexplicit upper boundsSubspace Theoremnondegenerate norm form equations

Mathematics Subject Classification ID

Multiplicative and norm form equations (11D57)

Related Items (9)

The number of solutions of decomposable form equations ⋮ Volumes and Diophantine inequalities associated with decomposable forms. ⋮ Unnamed Item ⋮ Quantitative versions of the subspace theorem and applications ⋮ The Mathematical Work of Wolfgang Schmidt ⋮ Modules with many non-associates and norm form equations with many families of solutions ⋮ Square-free values of decomposable forms ⋮ Unnamed Item ⋮ Large sieve estimate for multivariate polynomial moduli and applications

Cites Work

• On Siegel's lemma
• Dyson's lemma for polynomials in several variables (and the theorem of Roth)
• Thue's equation and a conjecture of Siegel
• Diophantine approximation
• On Thue's equation
• Linear forms with algebraic coefficients. II
• An Introduction to the Geometry of Numbers
• Thue Equations with Few Coefficients
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• Unnamed Item
• Unnamed Item

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