4 citations · 4 across the 3 of their papers we have counts for
8 papers
Monogenity in totally complex sextic fields, revisited
István Gaál
In addition to rather complicated general methods it is interesting and valuable to develop fast efficient methods for calculating generators of power integral bases in special typ…
Calculating relative power integral bases in totally complex quartic extensions of totally real fields
István Gaál
Some time ago we extended our monogenity investigations and calculations of generators of power integral bases to the relative case. Up to now we considered (usually totally real)…
Power integral bases in cubic and quartic extensions of real quadratic fields
István Gaál, László Remete
Investigations of monogenity and power integral bases were recently extended from the absolute case (over Q) to the relative case (over algebraic number fields). Formerly, in the r…
Calculating power integral bases by solving relative Thue equations
István Gaál, László Remete, Tí mea Szabó
In our recent paper we gave an efficient algorithm to calculate "small" solutions of relative Thue equations (where "small" means an upper bound of type for the sizes of…
Calculating "small" solutions of relative Thue equations
István Gaál
Diophantine equations can often be reduced to various types of classical Thue equations. These equations usually have only very small solutions, on the other hand to compute all so…
Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields
István Gaál, Gábor Petrányi
It is a classical problem in algebraic number theory to decide if a number field is monogeneous, that is if it admits power integral bases. It is especially interesting to consider…