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The logarithmic class group package in PARI/GP

Karim Belabas 1, 2 Jean-François Jaulent 1
2 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : This note presents our implementation in the PARI/GP system of the various arithmetic invariants attached to logarithmic classes and units of number fields. Our algorithms simplify and improve on works of Diaz y Diaz, Pauli, Pohst, Soriano and the second author.
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Karim Belabas, Jean-François Jaulent. The logarithmic class group package in PARI/GP. Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres, Publications mathématiques de Besançon, 2016, pp.5-18. ⟨hal-01419870⟩

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