Bence Csajbók

activity

20222026

most citedOn the maximum field of linearity of linear sets

3 citations · 5 across the 6 of their papers we have counts for

collaborators

8 papers

math.CO2026

Functions determining $(q + 3) /2$ directions over the finite field with $q$ elements

Bence Csajbók

Let $q = p^{n}$ , where $p > 2$ is prime. We prove that every $q$ -set $U \subseteq AG (2, q)$ determining exactly $(q + 3) /2$ directions is affinely equivalent to the graph of $x^{(q+1…

math.CO2026

On equidistributed directions in finite affine planes

Sam Adriaensen, Bence Csajbók, Zsuzsa Weiner

We investigate a recently introduced generalisation of determined directions in affine planes. A direction $(d)$ in an affine plane is a point of the line at infinity in the projec…

math.NT2026

Intersecting families and nonvanishing multivariate polynomials over finite fields

Shamil Asgarli, Bence Csajbók, Chi Hoi Yip

Let $P_{n, d}$ be the space of polynomials in $n$ variables over $F_{q}$ of degree at most $d$ . Two polynomials $f, g \in P_{n, d}$ intersect if $f(\mathbf a)…

math.CO2026

Small complete 3-term progression free sets in cyclic groups and vector spaces

Bence Csajbók, Zoltán Lóránt Nagy

A classical extremal problem on progression free sets is to determine the maximum size of a $3$ -term arithmetic progression free set in algebraic structures, for instance in interv…

math.CO2024

Complete $3$ -term arithmetic progression free sets of small size in vector spaces and other abelian groups

Bence Csajbók, Zoltán Lóránt Nagy

A subset $S$ of an abelian group $G$ is called $3$ - $AP$ free if it does not contain a three term arithmetic progression. Moreover, $S$ is called complete $3$ - $AP$ …

math.CO2023★ 3 cited

On the maximum field of linearity of linear sets

Bence Csajbók, Giuseppe Marino, Valentina Pepe

Let $V$ denote an $r$ -dimensional $F_{q^{n}}$ -vector space. For an $m$ -dimensional $F_{q}$ -subspace $U$ of $V$ assume that $\dim_q \left(\langle {\bf v}\rangle_{\math…

math.CO2023

On regular sets of affine type in finite Desarguesian planes and related codes

Angela Aguglia, Bence Csajbók, Luca Giuzzi

In this paper, we consider point sets of finite Desarguesian planes whose multisets of intersection numbers with lines is the same for all but one exceptional parallel class of lin…

math.CO2022★ 2 cited

Intersecting families of graphs of functions over a finite field

Angela Aguglia, Bence Csajbók, Zsuzsa Weiner

Let $U$ be a set of polynomials of degree at most $k$ over $F_{q}$ , the finite field of $q$ elements. Assume that $U$ is an intersecting family, that is, the graphs of any t…

Functions determining (q+3)/2 directions over the finite field with q elements

On equidistributed directions in finite affine planes

Intersecting families and nonvanishing multivariate polynomials over finite fields

Small complete 3-term progression free sets in cyclic groups and vector spaces

Complete 3-term arithmetic progression free sets of small size in vector spaces and other abelian groups

On the maximum field of linearity of linear sets

On regular sets of affine type in finite Desarguesian planes and related codes

Intersecting families of graphs of functions over a finite field

Functions determining $(q + 3) /2$ directions over the finite field with $q$ elements

Complete $3$ -term arithmetic progression free sets of small size in vector spaces and other abelian groups