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8 - Degree-Height Estimates

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 introduce degree-height estimates for elements of finitely generated domains and of algebraic extensions thereof, which may be seen as an analogue of the naive height of an algebraic number, and prove some properties of those.

Keywords

degree-height estimatesproperties
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Chapter
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Effective Results and Methods for Diophantine Equations over Finitely Generated Domains , pp. 156 - 170
Publisher: Cambridge University Press
Print publication year: 2022

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  • Degree-Height Estimates
  • Jan-Hendrik Evertse, Universiteit Leiden, Kálmán Győry, Debreceni Egyetem, Hungary
  • Book: Effective Results and Methods for Diophantine Equations over Finitely Generated Domains
  • Online publication: 31 August 2022
  • Chapter DOI: https://doi.org/10.1017/9781009042109.010
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  • Degree-Height Estimates
  • Jan-Hendrik Evertse, Universiteit Leiden, Kálmán Győry, Debreceni Egyetem, Hungary
  • Book: Effective Results and Methods for Diophantine Equations over Finitely Generated Domains
  • Online publication: 31 August 2022
  • Chapter DOI: https://doi.org/10.1017/9781009042109.010
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Degree-Height Estimates
  • Jan-Hendrik Evertse, Universiteit Leiden, Kálmán Győry, Debreceni Egyetem, Hungary
  • Book: Effective Results and Methods for Diophantine Equations over Finitely Generated Domains
  • Online publication: 31 August 2022
  • Chapter DOI: https://doi.org/10.1017/9781009042109.010
Available formats
×