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Construction of tables of quartic number fields

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2000) 1838 257-268
DOI: 10.1007/10722028_14
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Abstract

We explain how to construct efficiently tables of quartic fields by using Dirichlet series coming from Kummer theory, instead of the traditional methods using the geometry of numbers.

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Cohen, H., Diaz y Diaz, F., & Olivier, M. (2000). Construction of tables of quartic number fields. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1838, pp. 257–268). Springer Verlag. https://doi.org/10.1007/10722028_14

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