O devátém Hilbertově problému
O rozšíření pojmu kongruence
Okutsu invariants and Newton polygons
On a certain additive function on the Gaussian integers
On a conjecture of A. Schinzel and H. Zassenhaus
On a conjecture of D. H. Lehmer
On a conjecture of Morgan Ward, III
On a Diophantine inequality for forms of additive type
On a generalization of the Lucas functions
On a problem of Schinzel concerning principal divisors in arithmetic progressions
On a theorem of Dobrowolski about the product of conjugate numbers
On algebraic functions satisfying a class of functional equations.
On algebraic functions satisfying a class of functional equations. (Short Communication).
On coverings of almost Dedekind domains
On cycles and orbits of polynomial mappings
On cycles of polynomials with integral rational coefficients
On Cyclic Biquadratic Fields Related to a Problem of Hasse.
On Dedekind's criterion and monogenicity over Dedekind rings.
On degrees of three algebraic numbers with zero sum or unit product
Let α, β and γ be algebraic numbers of respective degrees a, b and c over ℚ such that α + β + γ = 0. We prove that there exist algebraic numbers α₁, β₁ and γ₁ of the same respective degrees a, b and c over ℚ such that α₁ β₁ γ₁ = 1. This proves a previously formulated conjecture. We also investigate the problem of describing the set of triplets (a,b,c) ∈ ℕ³ for which there exist finite field extensions K/k and L/k (of a fixed field k) of degrees a and b, respectively, such that the degree of the...
On diameters of algebraic integers