O poučce polynomické
O rovnicích kvadratických
O sedmnáctém Hilbertově problému
On a Class of Preorderrings of Higher Level.
On a problem of Aczél and Erdös concerning Hamel bases.
On a question of Schinzel about the length and Mahler's measure of polynomials that have a zero on the unit circle
On a Stratification Defined by Real Roots of Polynomials
2000 Mathematics Subject Classification: 12D10We prove smoothness of the strata and a transversality property of their tangent spaces.
On a universal axiomatization of the real closed fields
This paper presents a natural axiomatization of the real closed fields. It is universal and admits quantifier elimination.
On Algebraic Curves over Real Closed Fields.
On Algebraic Curves over Real Closed Fields. II.
On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
2000 Mathematics Subject Classification: 12D10.We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
On Bröcker's t-invariant and separating families for constructible sets.
On cubic factors of certain trinominals.
On equations and properties concerning some classes of chordal polygons.
On Finite Intersections of "Henselian Valued" Fields.
On generalized “ham sandwich” theorems
In this short note we utilize the Borsuk-Ulam Anitpodal Theorem to present a simple proof of the following generalization of the “Ham Sandwich Theorem”: Let be subsets with finite Lebesgue measure. Then, for any sequence of -linearly independent polynomials in the polynomial ring there are real numbers , not all zero, such that the real affine variety simultaneously bisects each of subsets , . Then some its applications are studied.
On intervals containing full sets of conjugates of algebraic integers
On multiple zeros of Bernoulli polynomials
On multivariate Descartes' rule – a counterexample.
On normal radical extensions of real fields