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Bases of number fields with small height

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Publication:1359153
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DOI10.1216/rmjm/1181072039zbMath0905.11031OpenAlexW1994975112MaRDI QIDQ1359153

Jeffrey Lin Thunder, Damien Roy

Publication date: 11 January 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm


zbMATH Keywords

Siegel's lemmatotally real number fieldsbases of number fields with small height


Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Algebraic numbers; rings of algebraic integers (11R04) Totally real fields (11R80)


Related Items (4)

A note on Siegel's lemma ⋮ On subfiniteness of graded linear series ⋮ Study of the rational case of the theory of linear forms in logarithms ⋮ Ideal membership in polynomial rings over the integers



Cites Work

  • On Siegel's lemma
  • Lower bounds for height functions
  • A note on Siegel's lemma
  • A note on Siegel's lemma over number fields
  • Factorization estimates for Abelian varieties
  • An Introduction to the Geometry of Numbers
  • Northcott's theorem on heights II. The quadratic case
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