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arxiv: 1701.06794 · v1 · pith:EF3JH3UFnew · submitted 2017-01-24 · 🧮 math.NT · cs.NA· cs.SC· math.NA

Computations with p-adic numbers

Xavier Caruso (IRMAR) This is my paper
classification 🧮 math.NT cs.NAcs.SCmath.NA
keywords numbersp-adiclecturealgorithmicsapplycalculcomparecomputations
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This document contains the notes of a lecture I gave at the "Journ\'ees 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.

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