Shamil Asgarli

activity

20172026

most citedVan Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields

15 citations · 54 across the 30 of their papers we have counts for

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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.NT2025

Collision of orbits for families of polynomials defined over fields of positive characteristic

Shamil Asgarli, Dragos Ghioca

Let $L$ be a field of positive characteristic $p$ with a fixed algebraic closure $L$ , and let $α_{1}, α_{2}, β \in L$ . For an integer $d \geq 2$ , we consider the family of polyno…