Polynomials, Symmetry, and Dynamics: an Undertaking in Aesthetics
Polynomials whose Galois groups are Frobenius groups with prime order complement
We give an effective characterization theorem for integral monic irreducible polynomials of degree whose Galois groups over are Frobenius groups with kernel of order and complement of prime order.
Polynomials whose values are powers.
Polynomials with height 1 and prescribed vanishing at 1.
Polynomials with nontrivial relations between their roots
Positive characteristic analogs of closed polynomials
The notion of a closed polynomial over a field of zero characteristic was introduced by Nowicki and Nagata. In this paper we discuss possible ways to define an analog of this notion over fields of positive characteristic. We are mostly interested in conditions of maximality of the algebra generated by a polynomial in a respective family of rings. We also present a modification of the condition of integral closure and discuss a condition involving partial derivatives.
Positive polynomials and polynomial inequalities.
Pour l'étude des groupes de ramification
Power Series Solutions of Algebraic Differential Equations.
Powersum formula for differential resolvents.
Powersum formula for polynomials whose distinct roots are differentially independent over constants.
Poznámka o jednej vlastnosti dvojprvkového telesa
Precise study of some number fields and Galois actions occurring in conformal field theory
Préhistoire de la géométrie algébrique réelle : de Descartes à Tarski
Préhistoire des idéaux
Prehomogeneous vector spaces and field extensions.
Prime rational functions
Let f(x) be a complex rational function. We study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we also derive some conditions for the case of complex polynomials.
Primideale im graduierten Wittring und im mod 2 Cohomologiering.
Primitive elements in rings of holomorphic functions.
Primitives des fonctions élémentaires