On Polynomials and Exponential Polynomials in Several Complex Variables.
On preordered fields related to Hilbert's 17th problem.
On quotients of the space of orderings of the field ℚ(x)
In this paper we present a method of obtaining new examples of spaces of orderings by considering quotient structures of the space of orderings - it is, in general, nontrivial to determine whether, for a subgroup the derived quotient structure is a space of orderings, and we provide some insights into this problem. In particular, we show that if a quotient structure arising from a subgroup of index 2 is a space of orderings, then it necessarily is a profinite one.
On Real Local-Global Principles.
On relative real holomorphy rings.
On Rings admitting orderings and 2-primary chains of orderings of higher level.
On Rolle's theorem for polynomials over the complex numbers.
On Root Arrangements of Polynomial-Like Functions and their Derivatives
2000 Mathematics Subject Classification: 12D10.We show that for n = 4 they are realizable either by hyperbolic polynomials of degree 4 or by non-hyperbolic polynomials of degree 6 whose fourth derivatives never vanish (these are a particular case of the so-called hyperbolic polynomial-like functions of degree 4).
On Roots of Polynomials with Positive Coefficients
On SAP Fields.
On some characterizations of the complex number field
On Some Hasse Principles over Formally Real Fields.
On stability of parametrized families of polynomials and matrices.
On stable polynomials
The article is a survey on problem of the theorem of Hurwitz. The starting point of explanations is Schur's decomposition theorem for polynomials. It is showed how to obtain the well-known criteria on the distribution of roots of polynomials. The theorem on uniqueness of constants in Schur's decomposition seems to be new.
On the arithmetic of two constructions of Salem numbers.
On the Cohomological Characterization of Real Free Pro-2-Group.
On the Diophantine equation f(y) - x = 0
On the distribution of the number of real zeros of a random polynomial.
On the equation
On the Extension of Real Places