1 citations · 2 across the 5 of their papers we have counts for
5 papers
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 . In…
Explicit bounds for the solutions of superelliptic equations over number fields
Attila Bérczes, Yann Bugeaud, Kálmán Győry +3
Let be a polynomial with coefficients in the ring of -integers of a number field , a non-zero -integer, and an integer . We consider the equation…
Counting embeddings of free groups into and its subgroups
Kamil Bulinski, Alina Ostafe, Igor E. Shparlinski
We show that if one selects uniformly independently and identically distributed matrices from a ball of large radius then with…
Stable Polynomials over Finite Fields
Domingo Gomez-Perez, Alejandro P. Nicolas, Alina Ostafe +1
We use the theory of resultants of polynomials to study the stability of an arbitrary polynomial over a finite field, that is, the property of having all its iterates irreducible.…
Pseudorandomness and Dynamics of Fermat Quotients
Alina Ostafe, Igor E. Shparlinski
We obtain some theoretic and experimental results concerning various properties (the number of fixed points, image distribution, cycle lengths) of the dynamical system naturally as…