Bence Csajbók

collaborators

3 papers

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 $3$ - $AP$ …

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

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