Alina Ostafe

activity

20092026

most citedOn the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators

18 citations · 38 across the 42 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.NT2023

On the sparsity of non-diagonalisable integer matrices and matrices with a given discriminant

Alina Ostafe, Igor E. Shparlinski

We consider the set $M_{n} (Z; H)$ of $n \times n$ -matrices with integer elements of size at most $H$ and obtain upper bounds on the number of matrices from $\mathcal…

math.NT2023

On some matrix counting problems

Ali Mohammadi, Alina Ostafe, Igor Shparlinski

We estimate the frequency of singular matrices and of matrices of a given rank whose entries are parametrised by arbitrary polynomials over the integers and modulo a prime $p$ . In…

math.NT2023

Explicit bounds for the solutions of superelliptic equations over number fields

Attila Bérczes, Yann Bugeaud, Kálmán Győry +3

Let $f$ be a polynomial with coefficients in the ring $O_{S}$ of $S$ -integers of a number field $K$ , $b$ a non-zero $S$ -integer, and $m$ an integer $\geq 2$ . We consider the equation…

math.NT2023★ 1 cited

Counting embeddings of free groups into $SL_{2} (Z)$ and its subgroups

Kamil Bulinski, Alina Ostafe, Igor E. Shparlinski

We show that if one selects uniformly independently and identically distributed matrices $A_{1}, \dots, A_{s} \in SL_{2} (Z)$ from a ball of large radius $X$ then with…

On the sparsity of non-diagonalisable integer matrices and matrices with a given discriminant

On some matrix counting problems

Explicit bounds for the solutions of superelliptic equations over number fields

Counting embeddings of free groups into SL2​(Z) and its subgroups

Counting embeddings of free groups into $SL_{2} (Z)$ and its subgroups