Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems

DOI10.1090/tran/7437zbMath1403.37101arXiv1505.05814OpenAlexW2962685289MaRDI QIDQ4561832

Alina Ostafe, Martín Sombra, Carlos D'Andrea, Igor E. Shparlinski

Publication date: 13 December 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05814

zbMATH Keywords

systems of polynomialsmodular reductionalgebraic dynamical systemorbit intersectionorbit lengtharithmetic Nullstellensatz

Mathematics Subject Classification ID

Varieties over global fields (11G35) Varieties over finite and local fields (11G25) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Solving polynomial systems; resultants (13P15) Dynamical systems over finite ground fields (37P25)

Related Items (9)

On the complexity exponent of polynomial system solving ⋮ Orbits of Algebraic Dynamical Systems in Subgroups and Subfields ⋮ Orbits of polynomial dynamical systems modulo primes ⋮ MULTIPLICATIVE ORDERS IN ORBITS OF POLYNOMIALS OVER FINITE FIELDS ⋮ On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields ⋮ Orders of points in families of elliptic curves ⋮ Order of torsion for reduction of linearly independent points for a family of Drinfeld modules ⋮ The dynamical Mordell-Lang problem for intersection of two orbits ⋮ On intersections of polynomial semigroups orbits with plane lines

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