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Factoring multivariate polynomials over algebraic number fields

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Mathematical Foundations of Computer Science 1984 (MFCS 1984)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 176))

Abstract

We present an algorithm to factor multivariate polynomials over algebraic number fields that is polynomial-time in the degrees of the polynomial to be factored. The algorithm is an immediate generalization of the polynomial-time algorithm to factor univariate polynomials with rational coefficients.

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Author information

Authors and Affiliations

  1. Centrum voor wiskunde en informatica, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands

    Arjen K. Lenstra

Authors
  1. Arjen K. Lenstra
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Editor information

M. P. Chytil V. Koubek

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© 1984 Springer-Verlag Berlin Heidelberg

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Lenstra, A.K. (1984). Factoring multivariate polynomials over algebraic number fields. In: Chytil, M.P., Koubek, V. (eds) Mathematical Foundations of Computer Science 1984. MFCS 1984. Lecture Notes in Computer Science, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030321

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  • DOI: https://doi.org/10.1007/BFb0030321

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13372-8

  • Online ISBN: 978-3-540-38929-3

  • eBook Packages: Springer Book Archive

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