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10 - Proofs of the Results from Sections 2.6 to 2.8 Reduction to Unit Equations

Published online by Cambridge University Press:  31 August 2022

Jan-Hendrik Evertse  and
Kálmán Győry
Jan-Hendrik Evertse
Affiliation:
Universiteit Leiden
Kálmán Győry
Affiliation:
Debreceni Egyetem, Hungary
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Summary

We complete the proofs of our results for decomposable form equations and discriminant equations, by making a reduction to the effective finiteness results for unit equations proved in Chapter 9. In the course of the proof, we apply the estimates for degree-height estimates, proved in Chapter 8.

Keywords

completion of proofs for decomposable form equations
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Chapter
Information
Effective Results and Methods for Diophantine Equations over Finitely Generated Domains , pp. 194 - 205
Publisher: Cambridge University Press
Print publication year: 2022

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