An algorithm for constructing certain differential operators in positive characteristic

Given a non-zero polynomial f in a polynomial ring R with coefficients in a finite field of prime characteristic p, we present an algorithm to compute a differential operator δ which raises 1/ f to its pth power. For some specific families of polynomials, we also study the level of such a differenti...

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Bibliographic Details
Main Authors: Alberto F. Boix, Alessandro De Stefani, Davide Vanzo
Format: Article
Language:English
Published: Università degli Studi di Catania 2015-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1237