The number of solutions of decomposable form equations

DOI10.1007/BF01231456zbMath0851.11019OpenAlexW1999770486MaRDI QIDQ1911559

Jan-Hendrik Evertse

Publication date: 25 November 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144332

zbMATH Keywords

number of solutionsnorm form\(S\)-unit equationsdecomposable form equationnon-degenerate solutions

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Multiplicative and norm form equations (11D57)

Related Items (17)

Scarcity of cycles for rational functions over a number field ⋮ Cycles for rational maps of good reduction outside a prescribed set ⋮ Thue equations and CM-fields ⋮ Finite polynomial orbits in finitely generated domains ⋮ Representation of finite graphs as difference graphs of \(S\)-units. II ⋮ Irreducibility criteria of Schur-type and Pólya-type ⋮ On the number of distinct prime factors of a sum of super-powers ⋮ Quadratic integral solutions to double Pell equations ⋮ Finite orbits for rational functions ⋮ Integers divisible by sums of powers of their prime factors ⋮ Rational preimages in families of dynamical systems ⋮ Sums and products with smooth numbers ⋮ Rank-finiteness for modular categories ⋮ On the greatest prime factor of sides of a Heron triangle ⋮ On the quantitative dynamical Mordell-Lang conjecture ⋮ A game with two players choosing the coefficients of a polynomial ⋮ On a conjecture of Ma

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• Finiteness criteria for decomposable form equations
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• On the Thue-Mahler equation II
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