Alexei Entin

activity

20162024

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Showing 2018Show all

2 papers · 1 filter

math.NT2018

Factorization Statistics of Restricted Polynomial Specializations over Large Finite Fields

Alexei Entin

For a polynomial $F (t, A_{1}, \dots, A_{n}) \in F_{p} [t, A_{1}, \dots, A_{n}]$ ( $p$ being a prime number) we study the factorization statistics of its specializations $$F(t,a_1,\ldots,a_n…

math.NT2018

Monodromy of Hyperplane Sections of Curves and Decomposition Statistics over Finite Fields

Alexei Entin

For a projective curve $C \subset P^{n}$ defined over $F_{q}$ we study the statistics of the $F_{q}$ -structure of a section of $C$ by a random hyperplane defined…