A certain property of polynomials.
A certain property of polynomials. (Short Communication).
A Characterization of One-Element p-Bases of Rings of Constants
Let K be a unique factorization domain of characteristic p > 0, and let f ∈ K[x₁,...,xₙ] be a polynomial not lying in . We prove that is the ring of constants of a K-derivation of K[x₁,...,xₙ] if and only if all the partial derivatives of f are relatively prime. The proof is based on a generalization of Freudenburg’s lemma to the case of polynomials over a unique factorization domain of arbitrary characteristic.
A duality based proof of the combinatorial nullstellensatz.
A generalization of a second irreducibility theorem of I. Schur
A generalization of a third irreducibility theorem of I. Schur
A note on the Hasse principle. Addenda
A note on universal Hilbert sets.
A polynomial solution to regulation and tracking. I. Deterministic problem
A polynomial solution to regulation and tracking. II. Stochastic problem
A propos de la relation galoisienne
L’existence d’un polynôme , irréductible sur un corps de caractéristique et dont trois racines vérifient la relation linéaire , ne dépend que de la paire de groupes finis où et est le fixateur d’une racine. Le cas régulier () est désormais assez bien décrit. On démontre dans ce texte que pour de nombreuses paires primitives ( sous-groupe maximal de ) et en particulier pour toutes celles de degré , la relation n’est pas réalisable.En appendice, Joseph Oesterlé démontre que cette...
À propos d'un théorème de Frobenius
A question on the discriminants of involutions of central division algebras.
A quick and dirty irreducibility test for multivariate polynomials over .
A Simple Proof Of A Generalization Of Eisenstein's Irreducibility Criterion.
Abelian binomials, power residues and exponential congruences
Abundance of Hilbertian domains.
Acknowledgement of priority
Addendum and corrigendum to the paper "Abelian binomials, power residues and exponential congruences", Acta Arith. 32(1977), pp. 245-274
Addendum to the paper: "On the number of terms of a composite polynomial" (Acta Arith. 127 (2007), 157-167)