3 papers
math.NT2026
Monogenity of pure quintic fields: the power of sieving
István Gaál
We provide a simple algorithm for calculating all generators of power integral bases in pure quintic fields. This procedure involves the usual standard elements like Baker's method…
math.NT2025
Investigating monogenity in a family of cyclic sextic fields
István Gaál
L. Jones characterized among others monogenity of a family of cyclic sextic polynomials. Our purpose is to study monogenity of the family of corresponding sextic number fields. Thi…
math.NT2025
Power integral bases in a family of octic fields
István Gaál
Several recent results prove the monogenity of some polynomials. In these cases the root of the polynomial generates a power integral basis in the number field generated by the roo…