Enumeration of Totally Real Number Fields of Bounded Root Discriminant

  • John Voight
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5011)


We enumerate all totally real number fields F with root discriminant δ F  ≤ 14. There are 1229 such fields, each with degree Open image in new window .


Basic Bound Proper Face Generalize Riemann Hypothesis Precision Loss Lattice Point Counting 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • John Voight
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of VermontBurlington 

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