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

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4 papers · 1 filter

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…

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

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