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Counting Discriminants of Number Fields of Degree up to Four

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1838))

Abstract

For each permutation group G on n letters with n ≤ 4, we give results, conjectures and numerical computations on discriminants of number fields L of degree n over ℚ such that the Galois group of the Galois closure of L is isomorphic to G.

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© 2000 Springer-Verlag Berlin Heidelberg

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Cohen, H., Diaz y Diaz, F., Olivier, M. (2000). Counting Discriminants of Number Fields of Degree up to Four. In: Bosma, W. (eds) Algorithmic Number Theory. ANTS 2000. Lecture Notes in Computer Science, vol 1838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722028_15

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  • DOI: https://doi.org/10.1007/10722028_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67695-9

  • Online ISBN: 978-3-540-44994-2

  • eBook Packages: Springer Book Archive

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