Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time

Fuente: arXiv

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Detalles Bibliográficos
Autor principal:	Pagès, Raphaël
Formato:	Preprint
Publicado:	2021
Materias:	Symbolic Computation Functional Analysis
Acceso en línea:	Acceder al recurso
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_version_	1866911523480272896
author	Pagès, Raphaël
author_facet	Pagès, Raphaël
contents	We design a fast algorithm that computes, for a given linear differential operator with coefficients in $Z[x ]$, all the characteristic polynomials of its p-curvatures, for all primes $p < N$ , in asymptotically quasi-linear bit complexity in N. We discuss implementations and applications of our algorithm. We shall see in particular that the good performances of our algorithm are quickly visible.
format	Preprint
id	arxiv_https___arxiv_org_abs_2106_14637
institution	arXiv
publishDate	2021
record_format	arxiv
spellingShingle	Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time Pagès, Raphaël Symbolic Computation Functional Analysis We design a fast algorithm that computes, for a given linear differential operator with coefficients in $Z[x ]$, all the characteristic polynomials of its p-curvatures, for all primes $p < N$ , in asymptotically quasi-linear bit complexity in N. We discuss implementations and applications of our algorithm. We shall see in particular that the good performances of our algorithm are quickly visible.
title	Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time
topic	Symbolic Computation Functional Analysis
url	https://arxiv.org/abs/2106.14637

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