23 citations · 57 across the 35 of their papers we have counts for
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math.AC2017
Factorization of bivariate sparse polynomials
Francesco Amoroso, Martín Sombra
We prove a function field analogue of a conjecture of Schinzel on the factorization of univariate polynomials over the rationals. We derive from it a finiteness theorem for the irr…
math.NT2017
Orbits of Polynomial Dynamical Systems Modulo Primes
Mei-Chu Chang, Carlos D'Andrea, Alina Ostafe +2
We present lower bounds for the orbit length of reduction modulo primes of parametric polynomial dynamical systems defined over the integers, under a suitable hypothesis on its set…
math.CV2017
Bounds for multivariate residues and for the polynomials in the elimination theorem
Martin Sombra, Alain Yger
We present several upper bounds for the height of global residues of rational forms on an affine variety. As a consequence, we deduce upper bounds for the height of the coefficient…