On the irreducibility of certain polynomials with coefficients as products of terms in an arithmetic progression
On the irreducibility of the generalized Laguerre polynomials
On the irreducible factors of a polynomial over a valued field
We explicitly provide numbers , such that each irreducible factor of a polynomial with integer coefficients has a degree greater than or equal to and can have at most irreducible factors over the field of rational numbers. Moreover, we prove our result in a more general setup for polynomials with coefficients from the valuation ring of an arbitrary valued field.
On the Jacobian conjecture and the configurations of roots.
On the Knuth semi-fields.
On the Local Skolem Property.
On the Mahler measure of polynomials in many variables
On the main invariant of an element over a local field.
On the model companion for e-fold p-adically valued fields.
On the Mostowski Number.
On the Mulitplicity of Zeros of Polynomials over Arbitrary Finite Dimensional K-Algebras.
On the multiplicative structure of finite division rings.
On the Newton Polygon.
On the nonexcellence of field extensions .
On the Nonflatness of Analytic Tensor Product.
On the number of Daubechies scaling functions and a conjecture of Chyzak et al.
On the number of elliptic curves with CM cover large algebraic fields
Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between and or and they give an example where the line goes beween and and another one where the line goes between and .
On the number of polynomials of bounded measure
On the number of real roots of a solvable polynomial
On the number of square classes of a field of finite level.