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4 - Effective Results over Number Fields

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 recall Baker type results on logarithmic forms, give an overview of the necessary techniques from algebraic number theory, and sketch the proofs of effective finiteness results for various classes of Diophantine equations.

Keywords

logarithmic formsalgebraic number theory techniqueseffective results for Diophantine equations over number fields
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Effective Results and Methods for Diophantine Equations over Finitely Generated Domains , pp. 55 - 97
Publisher: Cambridge University Press
Print publication year: 2022

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