László Remete

activity

20182026

most citedIntegral bases and monogenity of pure fields

68 citations · 133 across the 16 of their papers we have counts for

collaborators

18 papers

math.NT2026

Asymptotic formulas for sums of elements from a multiplicative group

Jan-Hendrik Evertse, Kálmán Győry, Lajos Hajdu +2

Let $K$ be a number field, $k \geq 2$ an integer, $(K^{*})^{k}$ the $k$ -fold direct product of $K^{*}$ with coordinatewise multiplication, and $Γ$ a finitely generated subgroup of rank $r…

math.NT2024★ 7 cited

On the index of power compositional polynomials

Sumandeep Kaur, Surender Kumar, László Remete

The index of a monic irreducible polynomial $f (x) \in Z [x]$ having a root $θ$ is the index $[Z_{K} : Z [θ]]$ , where $Z_{K}$ is the ring of algebraic inte…

math.NT2021★ 3 cited

Integral basis of pure fields with square-free parameter

László Remete

Let $m \neq = 0, \pm 1$ and $n \geq 2$ be integers. The ring of algebraic integers of the pure fields of type $Q (n m)$ is explicitly known for $n = 2, 3, 4$ . It is well known…

math.NT2021

A generalization of simplest number fields and their integral basis

Laszlo Remete

An integral basis of the simplest number fields of degree 3,4 and 6 over $Q$ are well-known, and widely investigated. We generalize the simplest number fields to any degre…

math.NT2021★ 3 cited

Hermite equivalence of polynomials

Manjul Bhargava, Jan-Hendrik Evertse, Kálmán Győry +2

In this paper, we resurrect a long-forgotten notion of equivalence for univariate polynomials with integral coefficients introduced by Hermite in the 1850s. We show that the Hermit…

math.NT2021

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.