Carlos Gustavo Moreira

On The Exceptional Set Of Transcendental Analytic Functions In Several Variables With Integer Coefficients

In 2020, Marques and Moreira proved that every subset of [Formula: see text], which is closed under complex conjugation and contains [Formula: see text], is the exceptional set of uncountably many transcendental analytic functions with integer coefficients. In this paper, we exte...

A Generalization of Marstrand’s Theorem and Some Geometric Applications

Abstract In this paper we prove using quite elementary methods, with a combinatorial nature, two general results related to Marstrand’s projection theorem in a quite general formulation over metric spaces under a suitable transversality condition (the “projections" are in princip...