2 citations · 2 across the 5 of their papers we have counts for
6 papers
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 the maximum modulus of integers in Kummer extensions
Jorge Mello
We study the extension of a result of Loxton (1972) on representation of algebraic integers as sums of roots of unity to Kummer extensions.
On semigroup orbits of polynomials in subgroups
Jorge Mello
We study intersections of semigroup orbits in polynomial dynamics with multiplicative subgroups, extending results of Ostafe and Shparlinski (2010).
On Quantitative estimates for quasiintegral points in orbits of semigroups of rational functions
Jorge Mello
We give quantitative bounds for the number of quasi-integral points in orbits of semigroups of rational maps under some conditions, generalizing previous work of L. C. Hsia and J.…
On variation of dynamical canonical heights, and Intersection numbers
Jorge Mello
We study families of varieties endowed with polarized canonical eigensystems of several maps, inducing canonical heights on the dominating variety as well as on the "good" fibers o…
The Dynamical And Arithmetical Degrees For Eigensystems of Rational Self-maps
Jorge Mello
We define arithmetical and dynamical degrees for dynamical systems with several rational maps on projective varieties, study their properties and relations, and prove the existence…