University of Debrecen

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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

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52 papers · 1 filter

math.NT2025★ 1 cited

Multiplicative dependence in linear recurrence sequences

Attila Bérczes, Lajos Hajdu, Alina Ostafe +1

For a wide class of integer linear recurrence sequences $(u (n))_{n = 1}^{\infty}$ , we give an upper bound on the number of $s$ -tuples $\left(n_1, \ldots, n_s\right) \in \lef…

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.NT2023★ 2 cited

Asymptotics of $D (q)$ -pairs and triples via $L$ -functions of Dirichlet charaters

Nikola Adžaga, Goran Dražić, Andrej Dujella +1

Let $q$ be an integer. A $D (q)$ - $m$ -tuple is a set of $m$ distinct positive integers $a_{1}, a_{2}, ..., a_{m}$ such that $a_{i} a_{j} + q$ is a perfect square for all $1 \leq i < j \leq…

math.NT2021

On power values of pyramidal numbers, II

Andrej Dujella, Kálmán Győry, Philippe Michaud-Jacobs +1

For $m \geq 3$ , we define the $m$ th order pyramidal number by \[ \mathrm{Pyr}_m(x) = \frac{1}{6} x(x+1)((m-2)x+5-m). \] In a previous paper, written by the first-, second-, and fou…

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…