2 citations · 7 across the 17 of their papers we have counts for
5 papers · 1 filter
On effective -integrality in orbits of rational maps over function fields and multiplicative dependence
Jorge Mello
We give effective bounds for the set quasi-integral points in orbits of non-isotrivial rational maps over function fields under some conditions, generalizing previous work of Hsia…
Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height
Jorge Mello
Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising re…
On elements of large order of elliptic curves and multiplicative dependent images of rational functions over finite fields
Bryce Kerr, Jorge Mello, Igor E. Shparlinski
Let and be elliptic curves in Legendre form with integer parameters. We show there exists a constant such that for almost all primes, for all but at most pairs…
On abelian points of varieties intersecting subgroups in a torus
Jorge Mello
We show, under some natural conditions, that the set of abelian points on the non-anomalous subset of a closed irreducible subvariety intersected with the union of connected al…
An effective local-global principle for algebraic varieties and the sum product problem in finite fields
Bryce Kerr, Jorge Mello, Igor Shparlinski
We use recent results about linking the number of zeros on algebraic varieties over , defined by polynomials with integer coefficients, and on their reductions modulo s…