An experiment on the monogenity of a family of trinomials

Gaal, Istvan ✉ [Gaál, István (Számelmélet), szerző] Algebra és Számelmélet Tanszék (DE / TTK / MatI)

Angol nyelvű Tudományos Szakcikk (Folyóiratcikk)
    Azonosítók
    Szakterületek:
      Let f (x) be a trinomial (i.e., an irreducible polynomial with three terms), denote by alpha a root of f (x). f (x) is called monogenic, if alpha generates a power integral basis in K = Q(alpha).There is an extensive literature of monogenic trinomials. A natural question is to ask if K has power integral bases, different from the one generated by alpha. In the present paper we consider this question in a special infinite parametric family of trinomials. Our purpose is to describe all generators of power integral bases in the number fields generated by the roots of the trinomials.
      Hivatkozás stílusok: IEEEACMAPAChicagoHarvardCSLMásolásNyomtatás
      2022-01-17 08:00