Potenzfreie Werte von Polynomen in algebraischen Zahlkörpern.
Potenzreste
Prime producing polynomials: Proof of a conjecture by Mollin and Williams
Prime values of irreducible polynomials
Quadratic polynomials producing consecutive, distinct primes and class groups of complex quadratic fields
Realisation de produits en couronne comme groupe de Galois de polynomes reciproques et construction de polynomes generiques
Reducibility and irreducibility of Stern -polynomials
The classical Stern sequence was extended by K.B. Stolarsky and the first author to the Stern polynomials defined by , , , and ; these polynomials are Newman polynomials, i.e., they have only 0 and 1 as coefficients. In this paper we prove numerous reducibility and irreducibility properties of these polynomials, and we show that cyclotomic polynomials play an important role as factors. We also prove several related results, such as the fact that can only have simple zeros, and we state a...
Reducibility of lacunary polynomials, IV
Reducibility of lacunary polynomials, V
Reducibility of lacunary polynomials, VI
Reducibility of Lacunary Polynomials, VII.
Reducibility of lacunary polynomials, VIII
Reducibility of lacunary polynomials. X
Reducibility of lacunary polynomials, XI
Reducibility of lacunary polynomials XII
Reducibility of polynomials of the form f(x)-g(y)
Reducibility of quadrinomials
Reducible lacunary polynomials
Relations between polynomial roots
Relations between polynomial roots