Open AccessComputations with p-adic numbers
Author(s) -
Xavier Caruso
Publication year - 2017
Publication title -
les cours du cirm
Language(s) - English
Resource type - Journals
ISSN - 2108-7164
DOI - 10.5802/ccirm.25
Subject(s) - implementation , computation , computer science , algebra over a field , symbolic computation , arithmetic , theoretical computer science , mathematics , algorithm , programming language , pure mathematics , mathematical analysis
This document contains the notes of a lecture I gave at the "Journees 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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