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Counting matrices over finite rank multiplicative groups
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2025
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Alistair J. Manning
Alina Ostafe
Igor E. Shparlinski
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On some matrix counting problems
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2024
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Ali Mohammadi
Alina Ostafe
Igor E. Shparlinski
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On quantum ergodicity for higher dimensional cat maps
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2024
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PĂ€r Kurlberg
Alina Ostafe
Zeév Rudnick
Igor E. Shparlinski
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Statistics of ranks, determinants and characteristic polynomials of rational matrices
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2024
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Muhammad Afifurrahman
Vivian Kuperberg
Alina Ostafe
Igor E. Shparlinski
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On the frequency of primes preserving dynamical irreducibility of
polynomials
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2024
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Alina Ostafe
Igor E. Shparlinski
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Multiplicative dependence of rational values modulo approximate finitely generated groups
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2024
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Attila BĂ©rczes
Yann Bugeaud
KĂĄlmĂĄn GyĆry
Jorge Mello
Alina Ostafe
Min Sha
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Explicit bounds for the solutions of superelliptic equations over number fields
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2024
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Attila BĂ©rczes
Yann Bugeaud
KĂĄlmĂĄn GyĆry
Jorge Mello
Alina Ostafe
Min Sha
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Counting embeddings of free groups into $\mathrm{SL}_2(\mathbb{Z})$ and its subgroups
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2024
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Kamil Bulinski
Alina Ostafe
Igor E. Shparlinski
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Cyclotomic and abelian points in backward orbits of rational functions
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2024
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Andrea Ferraguti
Alina Ostafe
Umberto Zannier
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Statistics of ranks, determinants and characteristic polynomials of rational matrices
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2024
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Muhammad Afifurrahman
Alina Ostafe
Igor E. Shparlinski
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Discriminants of fields generated by polynomials of given height
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2023
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Rainer Dietmann
Alina Ostafe
Igor E. Shparlinski
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PDF
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Weil Sums over Small Subgroups
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2023
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Alina Ostafe
Igor E. Shparlinski
José Felipe Voloch
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PDF
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Corrigendum: On a problem of Lang for matrix polynomials
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2023
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Alina Ostafe
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Counting embeddings of free groups into $\mathrm{SL}_2(\mathbb{Z})$ and its subgroups
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2023
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Kamil Bulinski
Alina Ostafe
Igor E. Shparlinski
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+
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On some matrix counting problems
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2023
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Ali Mohammadi
Alina Ostafe
Igor E. Shparlinski
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+
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Explicit bounds for the solutions of superelliptic equations over number fields
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2023
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Attila BĂ©rczes
Yann Bugeaud
KĂĄlmĂĄn GyĆry
Jorge Mello
Alina Ostafe
Min Sha
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On the sparsity of integer matrices with a given discriminant
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2023
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Alina Ostafe
Igor E. Shparlinski
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Equations and Character Sums with Matrix Powers, Kloosterman Sums over Small Subgroups, and Quantum Ergodicity
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2022
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Alina Ostafe
Igor E. Shparlinski
José Felipe Voloch
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On a problem of Lang for matrix polynomials
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2022
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Alina Ostafe
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On sparsity of representations of polynomials as linear combinations of exponential functions
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2022
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Dragos Ghioca
Alina Ostafe
Sina Saleh
Igor E. Shparlinski
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Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices
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2022
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Alina Ostafe
Igor E. Shparlinski
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+
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Cyclotomic and abelian points in backward orbits of rational functions
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2022
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Andrea Ferraguti
Alina Ostafe
Umberto Zannier
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+
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Weil Sums over Small Subgroups
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2022
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Alina Ostafe
Igor E. Shparlinski
José Felipe Voloch
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+
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Additive energy of cyclic matrix groups and character sums with matrix exponential functions
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2021
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Alina Ostafe
Igor E. Shparlinski
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Multiplicative and Linear Dependence in Finite Fields and on Elliptic Curves Modulo Primes
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2021
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Fabrizio Barroero
Laura Capuano
LĂĄszlĂł MĂ©rai
Alina Ostafe
Min Sha
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A SPARSITY RESULT FOR THE DYNAMICAL MORDELLâLANG CONJECTURE IN POSITIVE CHARACTERISTIC
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2021
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Dragos Ghioca
Alina Ostafe
Sina Saleh
Igor E. Shparlinski
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On the Skolem problem and some related questions for parametric families of linear recurrence sequences
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2021
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Alina Ostafe
Igor E. Shparlinski
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Multiplicative dependence of rational values modulo approximate finitely generated groups
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2021
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Attila BĂ©rczes
Jorge Mello
Alina Ostafe
Min Sha
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+
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Equations and character sums with matrix powers, Kloosterman sums over small subgroups and quantum ergodicity
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2021
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Alina Ostafe
Igor E. Shparlinski
José Felipe Voloch
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+
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Additive energy of cyclic matrix groups and character sums with matrix exponential functions
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2021
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Alina Ostafe
Igor E. Shparlinski
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+
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On a Problem of Lang for Matrix Polynomials
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2021
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Alina Ostafe
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On sparsity of representations of polynomials as linear combinations of exponential functions
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2021
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Dragos Ghioca
Alina Ostafe
Sina Saleh
Igor E. Shparlinski
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A sparsity result for the Dynamical Mordell-Lang Conjecture in positive characteristic
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2020
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Dragos Ghioca
Alina Ostafe
Sina Saleh
Igor E. Shparlinski
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Dynamical irreducibility of polynomials modulo primes
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2020
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LĂĄszlĂł MĂ©rai
Alina Ostafe
Igor E. Shparlinski
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On the Skolem problem and some related questions for parametric families of linear recurrence sequences
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2020
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Alina Ostafe
Igor E. Shparlinski
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+
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A sparsity result for the Dynamical Mordell-Lang Conjecture in positive characteristic
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2020
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Dragos Ghioca
Alina Ostafe
Sina Saleh
Igor E. Shparlinski
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On the Skolem problem and some related questions for parametric families of linear recurrence sequences
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2020
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Alina Ostafe
Igor E. Shparlinski
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Multiplicative and linear dependence in finite fields and on elliptic curves modulo primes
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2020
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Fabrizio Barroero
Laura Capuano
LĂĄszlĂł MĂ©rai
Alina Ostafe
Min Sha
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PDF
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On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics
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2019
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Alina Ostafe
Marley Young
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Perfect powers in value sets and orbits of polynomials.
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2019
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Alina Ostafe
Lukas Pottmeyer
Igor E. Shparlinski
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Polynomial values in affine subspaces of finite fields
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2019
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Alina Ostafe
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Dynamical irreducibility of polynomials modulo primes
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2019
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LĂĄszlĂł MĂ©rai
Alina Ostafe
Igor E. Shparlinski
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Dynamical irreducibility of polynomials in reduction modulo primes
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2019
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LĂĄszlĂł MĂ©rai
Alina Ostafe
Igor E. Shparlinski
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On Multiplicative Dependence of Values of Rational Functions and a Generalization of the Northcott Theorem
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2019
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Alina Ostafe
Min Sha
Igor E. Shparlinski
Umberto Zannier
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Multiplicative Dependence Among Iterated Values of Rational Functions Modulo Finitely Generated Groups
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2019
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Attila BĂ©rczes
Alina Ostafe
Igor E. Shparlinski
Joseph H. Silverman
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Discriminants of Fields Generated by Polynomials of Given Height
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2019
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Rainer Dietmann
Alina Ostafe
Igor E. Shparlinski
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+
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Perfect powers in value sets and orbits of polynomials
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2019
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Alina Ostafe
Lukas Pottmeyer
Igor E. Shparlinski
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+
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Dynamical irreducibility of polynomials modulo primes
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2019
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LĂĄszlĂł MĂ©rai
Alina Ostafe
Igor E. Shparlinski
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Multiplicative dependence among iterated values of rational functions modulo finitely generated groups.
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2018
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Attila BĂ©rczes
Alina Ostafe
Igor E. Shparlinski
Joseph H. Silverman
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On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics
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2018
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Alina Ostafe
Marley Young
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+
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Multiplicative dependence among iterated values of rational functions modulo finitely generated groups
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2018
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Attila BĂ©rczes
Alina Ostafe
Igor E. Shparlinski
Joseph H. Silverman
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On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics
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2018
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Alina Ostafe
Marley Young
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The arithmetic of consecutive polynomial sequences over finite fields
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2017
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Domingo GĂłmez-PĂ©rez
Alina Ostafe
Min Sha
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Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems
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2017
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Carlos DâAndrea
Alina Ostafe
Igor E. Shparlinski
MartıÌn Sombra
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Orbits of polynomial dynamical systems modulo primes
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2017
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Mei-Chu Chang
Carlos DâAndrea
Alina Ostafe
Igor E. Shparlinski
MartıÌn Sombra
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On abelian multiplicatively dependent points on a curve in a torus
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2017
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Alina Ostafe
Min Sha
Igor E. Shparlinski
Umberto Zannier
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On multiplicative dependence of values of rational functions
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2017
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Alina Ostafe
Min Sha
Igor E. Shparlinski
Umberto Zannier
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+
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On cyclotomic multiplicatively dependent points on a curve in a torus
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2017
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Alina Ostafe
Min Sha
Igor E. Shparlinski
Umberto Zannier
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+
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On abelian multiplicatively dependent points on a curve in a torus
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2017
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Alina Ostafe
Min Sha
Igor E. Shparlinski
Umberto Zannier
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Orbits of Algebraic Dynamical Systems in Subgroups and Subfields
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2017
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Alina Ostafe
Igor E. Shparlinski
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Orbits of Polynomial Dynamical Systems Modulo Primes
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2017
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Mei-Chu Chang
Carlos DâAndrea
Alina Ostafe
Igor E. Shparlinski
MartıÌn Sombra
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On multiplicative dependence of values of rational functions and a generalisation of the Northcott theorem
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2017
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Alina Ostafe
Min Sha
Igor E. Shparlinski
Umberto Zannier
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On abelian multiplicatively dependent points on a curve in a torus
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2017
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Alina Ostafe
Min Sha
Igor E. Shparlinski
Umberto Zannier
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PDF
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On roots of unity in orbits of rational functions
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2016
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Alina Ostafe
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PDF
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On some extensions of the AilonâRudnick theorem
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2016
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Alina Ostafe
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On roots of unity in orbits of rational functions
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2016
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Alina Ostafe
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Corrigendum to âOn the quantitative dynamical MordellâLang conjectureâ [J. Number Theory 156 (2015) 161â182]
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2016
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Alina Ostafe
Min Sha
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Counting dynamical systems over finite fields
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2016
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Alina Ostafe
Min Sha
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On roots of unity in orbits of rational functions
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2016
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Alina Ostafe
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On the quantitative dynamical MordellâLang conjecture
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2015
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Alina Ostafe
Min Sha
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+
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Reductions Modulo Primes of Systems of Polynomial Equations and Algebraic Dynamical Systems
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2015
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Carlos DâAndrea
Alina Ostafe
Igor E. Shparlinski
MartıÌn Sombra
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Modular Reduction of Systems of Polynomial Equations and Algebraic Dynamical Systems
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2015
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Carlos DâAndrea
Alina Ostafe
Igor E. Shparlinski
MartıÌn Sombra
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On some extensions of the Ailon-Rudnick Theorem
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2015
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Alina Ostafe
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Common composites of triangular polynomial systems and hash functions
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2015
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Domingo GĂłmez-PĂ©rez
Jaime Gutiérrez
Alina Ostafe
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+
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On the quantitative dynamical Mordell-Lang conjecture
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2015
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Alina Ostafe
Min Sha
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+
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The Arithmetic of Consecutive Polynomial Sequences over Finite Fields
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2015
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Domingo GĂłmez-PĂ©rez
Alina Ostafe
Min Sha
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+
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Counting dynamical systems over finite fields
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2015
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Alina Ostafe
Min Sha
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+
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Reductions Modulo Primes of Systems of Polynomial Equations and Algebraic Dynamical Systems
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2015
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Carlos DâAndrea
Alina Ostafe
Igor E. Shparlinski
MartıÌn Sombra
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+
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On some extensions of the Ailon-Rudnick Theorem
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2015
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Alina Ostafe
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PDF
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On irreducible divisors of iterated polynomials
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2014
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Domingo GĂłmez-PĂ©rez
Alina Ostafe
Igor E. Shparlinski
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+
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Polynomial Values in Affine Subspaces of Finite Fields
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2014
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Alina Ostafe
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Algebraic Curves and Finite Fields
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2014
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Harald Niederreiter
Alina Ostafe
Daniel Panario
Arne Winterhof
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Stable polynomials over finite fields
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2014
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Domingo GĂłmez-PĂ©rez
Alejandro P. NicolĂĄs
Alina Ostafe
Daniel Sadornil
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Hilbert's Nullstellensatz and polynomial dynamical systems
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2014
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Carlos DâAndrea
Alina Ostafe
Igor E. Shparlinski
MartıÌn Sombra
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Polynomial Values in Affine Subspaces of Finite Fields
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2014
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Alina Ostafe
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PDF
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Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators
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2013
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Domingo GĂłmez-PĂ©rez
Alina Ostafe
Igor E. Shparlinski
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Iterations of Rational Functions: Some Algebraic and Arithmetic Aspects
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2013
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Alina Ostafe
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Some applications of character sums.
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2013
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Alina Ostafe
Arne Winterhof
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Stable Polynomials over Finite Fields
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2012
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Domingo GĂłmez-PĂ©rez
Alejandro P. NicolĂĄs
Alina Ostafe
Daniel Sadornil
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Multiplicative character sums and products of sparse integers in residue classes
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2012
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Alina Ostafe
Igor E. Shparlinski
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PDF
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ON STABLE QUADRATIC POLYNOMIALS
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2012
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Omran Ahmadi
Florian Luca
Alina Ostafe
Igor E. Shparlinski
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On the Waring Problem with multivariate Dickson polynomials
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2012
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Alina Ostafe
David Thomson
Arne Winterhof
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+
PDF
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Degree growth, linear independence and periods of a class of rational dynamical systems
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2012
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Alina Ostafe
Igor E. Shparlinski
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+
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Stable Polynomials over Finite Fields
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2012
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Domingo GĂłmez-PĂ©rez
Alejandro P. NicolĂĄs
Alina Ostafe
Daniel Sadornil
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On the concentration of points of polynomial maps and applications
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2011
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Javier Cilleruelo
Moubariz Z. Garaev
Alina Ostafe
Igor E. Shparlinski
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Degree Growth, Linear Independence and Periods of a Class of Rational Dynamical Systems
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2011
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Alina Ostafe
Igor E. Shparlinski
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PDF
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EXPONENTIAL SUMS OVER POINTS OF ELLIPTIC CURVES WITH RECIPROCALS OF PRIMES
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2011
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Alina Ostafe
Igor E. Shparlinski
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MULTIPLICATIVE CHARACTER SUMS OF A CLASS OF NONLINEAR RECURRENCE VECTOR SEQUENCES
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2011
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Alina Ostafe
Igor E. Shparlinski
Arne Winterhof
|
+
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On the Waring problem with Dickson polynomials in finite fields
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2011
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Alina Ostafe
Igor E. Shparlinski
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+
PDF
Chat
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Pseudorandomness and Dynamics of Fermat Quotients
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2011
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Alina Ostafe
Igor E. Shparlinski
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+
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On the Distribution of the Subset Sum Pseudorandom Number Generator on Elliptic Curves
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2011
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Simon R. Blackburnâ
Alina Ostafe
Igor E. Shparlinski
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Twisted exponential sums over points of elliptic curves
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2011
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Alina Ostafe
Igor E. Shparlinski
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ON THE DISTRIBUTION OF THE SUBSET SUM PSEUDORANDOM NUMBER GENERATOR ON ELLIPTIC CURVES
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2011
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Simon R. Blackburnâ
Alina Ostafe
Igor E. Shparlinski
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Degree Growth, Linear Independence and Periods of a Class of Rational Dynamical Systems
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2011
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Alina Ostafe
Igor E. Shparlinski
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+
PDF
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On the length of critical orbits of stable quadratic polynomials
|
2010
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Alina Ostafe
Igor E. Shparlinski
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+
PDF
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Some additive combinatorics problems in matrix rings
|
2010
|
Ron Ferguson
Corneliu Hoffman
Florian Luca
Alina Ostafe
Igor E. Shparlinski
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Pseudorandomness and Dynamics of Fermat Quotients
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2010
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Alina Ostafe
Igor E. Shparlinski
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+
PDF
Chat
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Pseudorandom numbers and hash functions from iterations of multivariate polynomials
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2010
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Alina Ostafe
Igor E. Shparlinski
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+
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Structure of Pseudorandom Numbers Derived from Fermat Quotients
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2010
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Zhixiong Chen
Alina Ostafe
Arne Winterhof
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+
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On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences
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2010
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Alina Ostafe
Igor E. Shparlinski
Arne Winterhof
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+
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Multivariate permutation polynomial systems and nonlinear pseudorandom number generators
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2010
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Alina Ostafe
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+
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Polynomial dynamics and pseudorandomness
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2010
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Alina Ostafe
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+
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Pseudorandomness and Dynamics of Fermat Quotients
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2010
|
Alina Ostafe
Igor E. Shparlinski
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+
PDF
Chat
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On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators
|
2009
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Alina Ostafe
Igor E. Shparlinski
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+
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Pseudorandom Numbers and Hash Functions from Iterations of Multivariate Polynomials
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2009
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Alina Ostafe
Igor E. Shparlinski
|
+
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Multivariate Permutation Polynomial Systems and Nonlinear Pseudorandom Number Generators
|
2009
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Alina Ostafe
|
+
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Some Additive Combinatorics Problems in Matrix Rings
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2009
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Ron Ferguson
Corneliu Hoffman
Florian Luca
Alina Ostafe
Igor E. Shparlinski
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On the Length of Critical Orbits of Stable Quadratic Polynomials
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2009
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Alina Ostafe
Igor E. Shparlinski
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+
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Pseudorandom Numbers and Hash Functions from Iterations of Multivariate Polynomials
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2009
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Alina Ostafe
Igor E. Shparlinski
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+
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Some Additive Combinatorics Problems in Matrix Rings
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2009
|
Ron L. Ferguson
Corneliu Hoffman
Florian Luca
Alina Ostafe
Igor E. Shparlinski
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Multivariate Permutation Polynomial Systems and Nonlinear Pseudorandom Number Generators
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2009
|
Alina Ostafe
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