A. Pethő

activity

20122023

most citedDiscretized rotation has infinitely many periodic orbits

12 citations · 14 across the 4 of their papers we have counts for

collaborators

6 papers

math.NT2023

Decomposable forms generated by linear recurrences

Kalman Gyory, Attila Petho, Laszlo Szalay

Consider $k \geq 2$ distinct, linearly independent, homogeneous linear recurrences of order $k$ satisfying the same recurrence relation. We prove that the recurrences are related to…

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.NT2017

Number systems over orders

Attila Pethő, Jörg Thuswaldner

Let $K$ be a number field of degree $k$ and let $O$ be an order in $K$ . A \emph{generalized number system over $O$ } (GNS for short) is a pair…

math.NT2016

On the distribution of polynomials with bounded height

Csanád Bertók, Lajos Hajdu, Attila Pethő

We provide an asymptotic expression for the probability that a randomly chosen polynomial with given degree, having integral coefficients bounded by some B, has a prescribed signat…

math.NT2016

On nearly linear recurrence sequences

Shigeki Akiyama, Jan-Hendrik Evertse, Attila Pethő

A nearly linear recurrence sequence (nlrs) is a complex sequence $(a_{n})$ with the property that there exist complex numbers $A_{0}$ , $\dots$ , $A_{d - 1}$ such that the sequence $\big(a…

math.DS2012★ 12 cited

Discretized rotation has infinitely many periodic orbits

Shigeki Akiyama, Attila Pethoe

For a fixed k in (-2,2), the discretized rotation on Z^2 is defined by (x,y)->(y,-[x+ky]). We prove that this dynamics has infinitely many periodic orbits.