18 citations · 38 across the 42 of their papers we have counts for
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Systems of equations with elements of finitely generated groups and with linear recurrence sequences
Subham Bhakta, Alina Ostafe, Igor E. Shparlinski
We obtain new and essentially optimal bounds on the number of solutions of diagonal systems of polynomial equations in variables from an arbitrary finite subset of a finite…
Powers in orbits and semigroups generated by polynomials
Alina Ostafe, Dat T. Tran
In this paper, we study the presence of perfect powers in orbits of polynomials, or of semigroups generated by a finite family of polynomials, defined over a number field. In parti…
The divisor function for matrices
Tim Browning, Nikita P. Kalinin, Alina Ostafe +2
We introduce a matrix divisor function , counting factorisations for integer matrices of height at most . For a fixed non-singular , or for…
Counting Irreducible polynomials with coefficients from thin subgroups
Alina Ostafe, Igor E. Shparlinski
L. Bary-Soroker and R. Shmueli (2026) have given an asymptotic formula for the number of irreducible polynomials over the finite fields of elements, such that the…