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Isomorphisms of algebraic number fields

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Publication:713173
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DOI10.5802/jtnb.797zbMath1282.11142arXiv1012.0096OpenAlexW2963177333MaRDI QIDQ713173

Vivek Pal, Mark van Hoeij

Publication date: 26 October 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0096


zbMATH Keywords

number fieldsisomorphismcomputational number theory


Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04)


Related Items (1)

The complexity of computing all subfields of an algebraic number field


Uses Software

  • Maple


Cites Work

  • Unnamed Item
  • Factoring polynomials and the knapsack problem
  • Bounding the coefficients of a divisor of a given polynomial
  • Factoring polynomials with rational coefficients
  • A heuristic irreducibility test for univariate polynomials
  • Gradual sub-lattice reduction and a new complexity for factoring polynomials
  • A relative van Hoeij algorithm over number fields
  • Sharp estimates for triangular sets


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