Add to ORKGThis 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
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
One way to construct the real numbers involves creating equivalence classes of Cauchy sequences of r...
International audienceThis document contains the notes of a lecture I gave at the "Journées National...
Les nombres p-adiques sont un analogue des nombres réels plus proche de l’arithmétique. L’avènement ...
There are numbers of all kinds: rational, real, complex, p-adic, and more. The p-adic numbers are no...
Abstract. In this short paper we give a popular intro-duction to the theory of p-adic numbers. We gi...
Tracking p-adic precision Introduction: p-adic computation and precision Motivation for p-adic algor...
We design algorithms for computing values of many p-adic elementary and special functions, including...
Current implementations of p-adic numbers usually rely on so called zealous algorithms, which comput...
En este trabajo explicaremos algunas nociones básicas de análisis en espacios ultramétricos, en part...
When considering the usual absolute value, rational numbers can be extended to real numbers. If we w...
In this paper we investigate lower bounds for the numbers of nonzero digits of p=adic algebraic numb...
The book gives an introduction to p-adic numbers from the point of view of number theory, topology, ...
We present a new method to propagate $p$-adic precision in computations, which also applies to other...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
One way to construct the real numbers involves creating equivalence classes of Cauchy sequences of r...
International audienceThis document contains the notes of a lecture I gave at the "Journées National...
Les nombres p-adiques sont un analogue des nombres réels plus proche de l’arithmétique. L’avènement ...
There are numbers of all kinds: rational, real, complex, p-adic, and more. The p-adic numbers are no...
Abstract. In this short paper we give a popular intro-duction to the theory of p-adic numbers. We gi...
Tracking p-adic precision Introduction: p-adic computation and precision Motivation for p-adic algor...
We design algorithms for computing values of many p-adic elementary and special functions, including...
Current implementations of p-adic numbers usually rely on so called zealous algorithms, which comput...
En este trabajo explicaremos algunas nociones básicas de análisis en espacios ultramétricos, en part...
When considering the usual absolute value, rational numbers can be extended to real numbers. If we w...
In this paper we investigate lower bounds for the numbers of nonzero digits of p=adic algebraic numb...
The book gives an introduction to p-adic numbers from the point of view of number theory, topology, ...
We present a new method to propagate $p$-adic precision in computations, which also applies to other...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
One way to construct the real numbers involves creating equivalence classes of Cauchy sequences of r...