Abelian binomials, power residues and exponential congruences
Addendum and corrigendum to the paper "Abelian binomials, power residues and exponential congruences", Acta Arith. 32(1977), pp. 245-274
An Arithmetic Characterization of the Rational Homotopy Groups of Certain Spaces.
Chebyshev polynomials and Pell equations over finite fields
We shall describe how to construct a fundamental solution for the Pell equation over finite fields of characteristic . Especially, a complete description of the structure of these fundamental solutions will be given using Chebyshev polynomials. Furthermore, we shall describe the structure of the solutions of the general Pell equation .
Commuting polynomials and self-similarity.
Corrigendum and addendum to the paper "Reducibility of quadrinomials" (Acta Arith. 21 (1972), 153-171)
Corrigendum: "Galois groups of trinomials" (Acta Arith. 54 (1989), 43-49)
Double transitivity of Galois groups of trinomials
Errata to "On reducible trinomials" (Dissertationes Mathematicae 329 (1993))
Explicit formulas for strong Davenport pairs
Galois groups of trinomials
Ganzzahlige Gleichungen ohne Affekt
Generalized Kummer theory and its applications
In this report we study the arithmetic of Rikuna’s generic polynomial for the cyclic group of order and obtain a generalized Kummer theory. It is useful under the condition that and where is a primitive -th root of unity and . In particular, this result with implies the classical Kummer theory. We also present a method for calculating not only the conductor but also the Artin symbols of the cyclic extension which is defined by the Rikuna polynomial.
Hyperquadratic power series of degree four
Minimal polynomials of algebraic numbers with rational parameters
Normal Polynomials in Simple Extension Fields III.
On Commutative Semigroups of Polynomials with Respect to Composition.
On group-permutation polynomials
On permutation polynomials over finite fields.
On polynomials with flat squares