On some equations over finite fields

UE Introduction aux ´ equations aux d´ eriv´ ees partielles Deuxi` eme Session 17 juin 2008.. Tous les documents sont

The paper is organized as follows. In §1, we make an overview of the local study of the lin- ear differential equations. In particular, we remind how a meromorphic linear

many equivalence classes, the number of solutions of the S-unit equation (11) in coprime positive integers x, y, z is at most two... Evertse’s upper bound is not far

This enables us to study in a more detailed way in section 3 the case of nonsingular nonreflexive plane curves of degree p + 1, where p is the characteristic of

Yet another approach to the problem of singular supports of con- volutions is due to Hormander [13]. Hormander uses the technique of plurisubharmonic functions. Besides having

We use this description to give a new factorization algorithm for skew polynomials, and to give other algorithms related to factorizations of skew polynomials, like counting the

Keywords: secret sharing; multisecret-sharing scheme; finite field; vector

The description of such boundary singularities should play a key role in the understanding of the boundary behaviour of solutions of these equations (see [3] for the equation with