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Bibliographic Details
Main Author: Pagès, Raphaël
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2106.14637
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Table of 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.