5 papers
LCM decomposition of linear differential operators in positive characteristic
Raphaël Pagès
We present an algorithm to compute -decompositions for linear differentials operators with coefficients in the rational function field of characteristic , $\mathb…
Bounds for D-Algebraic Closure Properties
Manuel Kauers, Raphael Pages
We provide bounds on the size of polynomial differential equations obtained by executing closure properties for D-algebraic functions. While it is easy to obtain bounds on the orde…
Factoring Linear Differential Operators in Positive Characteristic by means of Solving a Norm Equation
Raphaël Pagès
The solutions of the equation in the unknown function over an algebraic function field of characteristic are very closely linked to the structure an…
Factoring differential operators over algebraic curves in positive characteristic
Raphaël Pagès
We present an algorithm for factoring linear differential operators with coefficients in a finite separable extension of F p (x). Our methods rely on specific tools arising in posi…
Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time
Raphaël Pagès
We design a fast algorithm that computes, for a given linear differential operator with coefficients in , all the characteristic polynomials of its p-curvatures, for all pri…