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On successive minima of rings of algebraic integers

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Algorithmic Number Theory (ANTS 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1423))

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Abstract

We give an account of some largely experimental results about the successive minima of the ring of integers of an algebraic number field endowed with its canonical Euclidean norm. This throws light on some interesting facts which could be important for the algorithmic theory of number fields.

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Authors and Affiliations

  1. Laboratoire A2X, Université Bordeaux I, 351 cours de la Libération, 33 405, Talence, France

    Jacques Martinet

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  1. Jacques Martinet
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Joe P. Buhler

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© 1998 Springer-Verlag Berlin Heidelberg

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Martinet, J. (1998). On successive minima of rings of algebraic integers. In: Buhler, J.P. (eds) Algorithmic Number Theory. ANTS 1998. Lecture Notes in Computer Science, vol 1423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054881

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  • DOI: https://doi.org/10.1007/BFb0054881

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64657-0

  • Online ISBN: 978-3-540-69113-6

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