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Journal de Théorie des Nombres de Bordeaux
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Preprint . 2010
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https://dx.doi.org/10.48550/ar...
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Isomorphisms of algebraic number fields

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2012Embargo end date: 01 Jan 2010 English Publisher:Cellule MathDoc/Centre MersenneJournal:Journal de théorie des nombres de Bordeaux, volume 24, pages 293-305 (eissn: 2118-8572, Copyright policy )
Authors: Mark van Hoeij; Vivek Pal;

doi: 10.5802/jtnb.797 , 10.48550/arxiv.1012.0096

arXiv: http://arxiv.org/abs/1012.0096

Isomorphisms of algebraic number fields

Abstract

Let ℚ(α) and ℚ(β) be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, ℚ(β)→ℚ(α). The algorithm is particularly efficient if there is only one isomorphism.

Keywords

Computer Science - Symbolic Computation, FOS: Computer and information sciences, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Symbolic Computation (cs.SC)

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    		 Average
    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
gold