Pseudorandomness and dynamics of Fermat quotients A Ostafe, IE Shparlinski SIAM Journal on Discrete Mathematics 25 (1), 50-71, 2011 | 90 | 2011 |
Structure of pseudorandom numbers derived from Fermat quotients Z Chen, A Ostafe, A Winterhof Arithmetic of Finite Fields: Third International Workshop, WAIFI 2010 …, 2010 | 70 | 2010 |
On the concentration of points of polynomial maps and applications J Cilleruelo, MZ Garaev, A Ostafe, IE Shparlinski Mathematische Zeitschrift 272 (3), 825-837, 2012 | 51 | 2012 |
On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators A Ostafe, I Shparlinski Mathematics of computation 79 (269), 501-511, 2010 | 37 | 2010 |
On the length of critical orbits of stable quadratic polynomials A Ostafe, I Shparlinski Proceedings of the American Mathematical Society 138 (8), 2653-2656, 2010 | 33 | 2010 |
On stable quadratic polynomials O Ahmadi, F Luca, A Ostafe, IE Shparlinski Glasgow Mathematical Journal 54 (2), 359-369, 2012 | 25 | 2012 |
Multivariate permutation polynomial systems and nonlinear pseudorandom number generators A Ostafe Finite Fields and Their Applications 16 (3), 144-154, 2010 | 24 | 2010 |
Pseudorandom numbers and hash functions from iterations of multivariate polynomials A Ostafe, IE Shparlinski Cryptography and Communications 2, 49-67, 2010 | 24 | 2010 |
Polynomial values in affine subspaces of finite fields A Ostafe Journal d'Analyse Mathématique 138, 49-81, 2019 | 23* | 2019 |
Stable polynomials over finite fields D Gómez-Pérez, AP Nicolás, A Ostafe, D Sadornil Revista Matemática Iberoamericana 30 (2), 523-535, 2014 | 23 | 2014 |
Multiplicative dependence among iterated values of rational functions modulo finitely generated groups A Bérczes, A Ostafe, IE Shparlinski, JH Silverman International Mathematics Research Notices 2021 (12), 9045-9082, 2021 | 20 | 2021 |
On the Carlitz rank of permutations of Fq and pseudorandom sequences D Gómez-Pérez, A Ostafe, A Topuzoğlu Journal of Complexity 30 (3), 279-289, 2014 | 20 | 2014 |
Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems C D’Andrea, A Ostafe, I Shparlinski, M Sombra Transactions of the American Mathematical Society 371 (2), 1169-1198, 2019 | 19 | 2019 |
On pseudorandom numbers from multivariate polynomial systems A Ostafe, E Pelican, IE Shparlinski Finite Fields and Their Applications 16 (5), 320-328, 2010 | 19 | 2010 |
On some extensions of the Ailon–Rudnick theorem A Ostafe Monatshefte für Mathematik 181, 451-471, 2016 | 18 | 2016 |
On irreducible divisors of iterated polynomials D Gómez-Pérez, A Ostafe, IE Shparlinski Revista matemática iberoamericana 30 (4), 1123-1134, 2014 | 18 | 2014 |
On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem A Ostafe, M Sha, IE Shparlinski, U Zannier Michigan Mathematical Journal 68 (2), 385-407, 2019 | 16 | 2019 |
On roots of unity in orbits of rational functions A Ostafe Proceedings of the American Mathematical Society 145 (5), 1927-1936, 2017 | 15 | 2017 |
On the quantitative dynamical Mordell–Lang conjecture A Ostafe, M Sha Journal of Number Theory 156, 161-182, 2015 | 15 | 2015 |
Some additive combinatorics problems in matrix rings R Ferguson, C Hoffman, F Luca, A Ostafe, IE Shparlinski Revista matematica complutense 23, 501-513, 2010 | 15 | 2010 |