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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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Contributor : Xavier Caruso Connect in order to contact the contributor
Submitted on : Monday, January 23, 2017 - 5:17:59 PM
Last modification on : Friday, January 21, 2022 - 3:10:30 AM
Long-term archiving on: : Monday, April 24, 2017 - 3:29:47 PM


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


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



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