Computations with p-adic numbers

Xavier Caruso 1, 2
2 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : This document contains the notes of a lecture I gave at the "Journées Nationales du Calcul Formel" (JNCF) on January 2017. The aim of the lecture was to discuss low-level algorithmics for p-adic numbers. It is divided into two main parts: first, we present various implementations of p-adic numbers and compare them and second, we introduce a general framework for studying precision issues and apply it in several concrete situations.
Keywords : p-adic numbers
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https://hal.archives-ouvertes.fr/hal-01444183
Contributor : Xavier Caruso <>
Submitted on : Monday, January 23, 2017 - 5:17:59 PM
Last modification on : Friday, December 21, 2018 - 3:58:38 PM
Document(s) archivé(s) le : Monday, April 24, 2017 - 3:29:47 PM

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  • HAL Id : hal-01444183, version 1
  • ARXIV : 1701.06794

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Xavier Caruso. Computations with p-adic numbers. Journées Nationales de Calcul Formel, In press, Les cours du CIRM. ⟨hal-01444183⟩

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