The problem known as ”Pierce-Birkhoff Conjecture ” finds its origin in a paper by G. Birkhoff and R. S. Pierce [BP]. The question is the following. Let h be a continuous piecewise polynomial function on Rn, with a finite number of pieces. Is it possible to describe h starting from polynomial functions an
AbstractThe piecewise algebraic curve, determined by a bivariate spline function, is a generalizatio...
Abstract Our main issue was to understand the connection between Åukasiewicz logic with product and ...
The famous Fröberg’s Conjecture gives Hilbert series of ideals generated by generic forms in polynom...
International audienceThe so called "Pierce-Birkhoff Conjecture" asserts that a continuous function ...
AbstractThe so called “Pierce–Birkhoff Conjecture” asserts that a continuous function h on Rn piecew...
Let R be a real closed field. The Pierce-Birkhoff conjecture says that any piecewise polynomial func...
This paper contains a partial result on the Pierce–Birkhoff conjecture on piece-wise polynomial func...
International audienceThis paper represents a step in our program towards the proof of the Pierce--B...
International audienceThis paper is a step in our program for proving the Piece-Birkhoff Conjecture ...
Conjecture 0.1 (Conjecture of Blagovest Sendov (1958))For a complex polynomial of degree two or more...
Abstract. Schinzel’s Hypothesis H predicts that a family of irre-ducible polynomials over the intege...
In the paper sequences of piecewise polynomial functions are considered, where each of the function ...
AbstractLet r be a positive integer and f1,…,fr be distinct polynomials in Z[X]. If f1(n),…,fr(n) ar...
Knowledge about discrete mathematics, number theory and polynomialsIn 1857, Bouniakowsky conjectured...
One can associate to any bivariate polynomial P (X,Y) its Newton polygon. This is the convex hull of...
AbstractThe piecewise algebraic curve, determined by a bivariate spline function, is a generalizatio...
Abstract Our main issue was to understand the connection between Åukasiewicz logic with product and ...
The famous Fröberg’s Conjecture gives Hilbert series of ideals generated by generic forms in polynom...
International audienceThe so called "Pierce-Birkhoff Conjecture" asserts that a continuous function ...
AbstractThe so called “Pierce–Birkhoff Conjecture” asserts that a continuous function h on Rn piecew...
Let R be a real closed field. The Pierce-Birkhoff conjecture says that any piecewise polynomial func...
This paper contains a partial result on the Pierce–Birkhoff conjecture on piece-wise polynomial func...
International audienceThis paper represents a step in our program towards the proof of the Pierce--B...
International audienceThis paper is a step in our program for proving the Piece-Birkhoff Conjecture ...
Conjecture 0.1 (Conjecture of Blagovest Sendov (1958))For a complex polynomial of degree two or more...
Abstract. Schinzel’s Hypothesis H predicts that a family of irre-ducible polynomials over the intege...
In the paper sequences of piecewise polynomial functions are considered, where each of the function ...
AbstractLet r be a positive integer and f1,…,fr be distinct polynomials in Z[X]. If f1(n),…,fr(n) ar...
Knowledge about discrete mathematics, number theory and polynomialsIn 1857, Bouniakowsky conjectured...
One can associate to any bivariate polynomial P (X,Y) its Newton polygon. This is the convex hull of...
AbstractThe piecewise algebraic curve, determined by a bivariate spline function, is a generalizatio...
Abstract Our main issue was to understand the connection between Åukasiewicz logic with product and ...
The famous Fröberg’s Conjecture gives Hilbert series of ideals generated by generic forms in polynom...