Tracking p-adic precision Introduction: p-adic computation and precision Motivation for p-adic algorithm Why should one work with p-adic numbers? Going from Fp to Zp and then back to Fp enables more computation
Papers from the 42nd Symposium held in Kaiserslautern, July 25–28, 2017ISBN: 978-1-4503-5064-8Intern...
International audienceUsing the differential precision methods developed previously by the same auth...
AbstractThe standard way to compute a p-adic zero α of a univariate polynomial f is to use Newton’s ...
We present a new method to propagate $p$-adic precision in computations, which also applies to other...
International audienceThis document contains the notes of a lecture I gave at the "Journées National...
International audienceWe present a new package ZpL for the mathematical software system SageMath. It...
There are numbers of all kinds: rational, real, complex, p-adic, and more. The p-adic numbers are no...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
We design algorithms for computing values of many p-adic elementary and special functions, including...
When considering the usual absolute value, rational numbers can be extended to real numbers. If we w...
These notes aim to provide a fast introduction to p-adic analysis assuming basic knowledge in algebr...
AbstractWe study the complexity of detecting feasibility of p-adic basic semi-algebraic sets. We con...
En este trabajo explicaremos algunas nociones básicas de análisis en espacios ultramétricos, en part...
This book is an elementary introduction to p-adic analysis from the number theory perspective. With ...
Contains fulltext : mmubn000001_065758358.pdf (publisher's version ) (Open Access)...
Papers from the 42nd Symposium held in Kaiserslautern, July 25–28, 2017ISBN: 978-1-4503-5064-8Intern...
International audienceUsing the differential precision methods developed previously by the same auth...
AbstractThe standard way to compute a p-adic zero α of a univariate polynomial f is to use Newton’s ...
We present a new method to propagate $p$-adic precision in computations, which also applies to other...
International audienceThis document contains the notes of a lecture I gave at the "Journées National...
International audienceWe present a new package ZpL for the mathematical software system SageMath. It...
There are numbers of all kinds: rational, real, complex, p-adic, and more. The p-adic numbers are no...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
We design algorithms for computing values of many p-adic elementary and special functions, including...
When considering the usual absolute value, rational numbers can be extended to real numbers. If we w...
These notes aim to provide a fast introduction to p-adic analysis assuming basic knowledge in algebr...
AbstractWe study the complexity of detecting feasibility of p-adic basic semi-algebraic sets. We con...
En este trabajo explicaremos algunas nociones básicas de análisis en espacios ultramétricos, en part...
This book is an elementary introduction to p-adic analysis from the number theory perspective. With ...
Contains fulltext : mmubn000001_065758358.pdf (publisher's version ) (Open Access)...
Papers from the 42nd Symposium held in Kaiserslautern, July 25–28, 2017ISBN: 978-1-4503-5064-8Intern...
International audienceUsing the differential precision methods developed previously by the same auth...
AbstractThe standard way to compute a p-adic zero α of a univariate polynomial f is to use Newton’s ...