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math.NTApr 1, 2014
51
citations (OpenAlex)
authors
  • John W. Jones
  • David P. Roberts
institutions
  • Arizona State University
  • University of Minnesota Morris
arXiv abstractPDF
paper

A database of number fields

arXiv:1404.0266 · doi:10.1112/S1461157014000424

Abstract

We describe an online database of number fields which accompanies this paper The database centers on complete lists of number fields with prescribed invariants. Our description here focuses on summarizing tables and connections to theoretical issues of current interest.

25 pages, 1 figure

References in corpus (2)

  • Enumeration of totally real number fields of bounded root discriminant
  • Random pro-p groups, braid groups, and random tame Galois groups

Cited by in corpus (13)

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  • Serre weights and wild ramification in two-dimensional Galois representations
  • Picard curves over Q with good reduction away from 3
  • A note on Euclidean cyclic cubic fields
  • Lattices of minimal covolume in SL_n(R)
  • On the unit equation over cyclic number fields of prime degree
  • An automorphic generalization of the Hermite-Minkowski theorem
  • On the paramodularity of typical abelian surfaces (and reduction of G-covariant bilinear forms)
  • On the genus of congruence surfaces from maximal orders
  • Abelian surfaces good away from 2
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