4 citations · 4 across the 2 of their papers we have counts for
13 papers
Totally real Thue inequalities over imaginary quadratic fields: an improvement
István Gaál, Borka Jadrijevic, László Remete
We significantly improve our results of Glas. Mat., III. Ser. 53(2018), No. 2, 229-238, reducing relative Thue inequalities to absolute ones.
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…
Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields
István Gaál, Borka Jadrijević, László Remete
The families of simplest cubic, simplest quartic and simplest sextic fields and the related Thue equations are well known. The family of simplest cubic Thue equations was already s…
Totally real Thue inequalities over imaginary quadratic fields
István Gaál, Borka Jadrijević, László Remete
Let be an irreducible binary form of degree with integer coefficients and with real roots. Let be an imaginary quadratic field, with ring of integers . L…
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…
Solving binomial Thue equations
István Gaál, László Remete
We consider binomial Thue equations of type in . Optimizing the method of Peth\H o we perform an extensive calculation by a high performance computer to…