2 citations · 2 across the 7 of their papers we have counts for
7 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…
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 and multiplicative orders
Jorge Mello
We show, under some natural restrictions, that some semigroup orbits of polynomials cannot contain too many elements of small multiplicative order modulo a large prime , extendi…
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.…