J. Mello

activity

20172026

most citedOn semigroup orbits of polynomials and multiplicative orders

2 citations · 7 across the 17 of their papers we have counts for

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math.NT2026

On lower bounds for canonical heights of the map $ϕ (X, Y) = (Y, X + Y^{D} + b)$

Jorge Mello

We give a lower bound for the canonical height associated to Hénon maps $ϕ (X, Y) = (Y, X + Y^{D} + B)$ of non-periodic points when $D > 2$ in the spirit of conjectures of Lang and Silverman. T…

math.NT2026

On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics

Jorge Mello, Yu Yasufuku

We study multiplicative dependence of points in semigroup orbits in higher dimensions. More specifically, we show that the non-density of integral points in semigroup orbits implie…

On lower bounds for canonical heights of the map ϕ(X,Y)=(Y,X+YD+b)

On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics

On lower bounds for canonical heights of the map $ϕ (X, Y) = (Y, X + Y^{D} + b)$