University of Debrecen

output

19942026

most citedCombined Measurement of the Higgs Boson Mass in

pp

Collisions at

s = 7

and 8 TeV with the ATLAS and CMS Experiments

1.4k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2018 · math.NTShow all

10 papers · 2 filters

math.NT2018★ 1 cited

Multiplicative dependence among iterated values of rational functions modulo finitely generated groups

Attila Bérczes, Alina Ostafe, Igor E. Shparlinski +1

We study multiplicative dependence between elements in orbits ofalgebraic dynamical systems over number fields modulo a finitely generated multiplicative subgroup of the field. We…

math.NT2018

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…

math.NT2018

Totally real Thue inequalities over imaginary quadratic fields

István Gaál, Borka Jadrijević, László Remete

Let $F (x, y)$ be an irreducible binary form of degree $\geq 3$ with integer coefficients and with real roots. Let $M$ be an imaginary quadratic field, with ring of integers $Z_{M}$ . L…

math.NT2018★ 2 cited

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 $1 0^{500}$ for the sizes of…

math.NT2018★ 5 cited

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…

math.NT2018★ 3 cited

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…

math.NT2018★ 17 cited

Non-monogenity in a family of octic fields

István Gaál, László Remete

Let $m$ be a square-free positive integer, $m \equiv 2, 3 (mod 4)$ . We show that the number field $K = Q (i, 4 m)$ is non-monogene, that is it does not admit any power in…

math.NT2018★ 5 cited

Calculating power integral bases by using relative power integral bases

István Gaál, László Remete, Tí mea Szabó

Let $M \subset K$ be number fields. We consider the relation of relative power integral bases of $K$ over $M$ with absolute power integral bases of $K$ over $Q$ . We show how generat…

math.NT2018★ 9 cited

Power integral bases in a family of sextic fields with quadratic subfields

István Gaál, László Remete

Let $M = Q (i d)$ be any imaginary quadratic field with a positive square-free $d$ . Consider the polynomial \[ f(x)=x^3-ax^2-(a+3)x-1, \] with a parameter $a \in Z$ . Let $K = M (α)$ …

math.NT2018★ 68 cited

Integral bases and monogenity of pure fields

István Gaál, László Remete

Let $m$ be a square-free integer ( $m \neq = 0, \pm 1$ ). We show that the structure of the integral bases of the fields $K = Q (n m)$ are periodic in $m$ . For $3 \leq n \leq 9$ we sh…