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math.NT2023★ 5 cited
Transcendence and normality of complex numbers via Hurwitz continued fractions
Felipe García-Ramos, Gerardo González Robert, Mumtaz Hussain
We study the topological, dynamical, and descriptive set theoretic properties of Hurwitz continued fractions. Hurwitz continued fractions associate an infinite sequence of Gaussian…
math.NT2023★ 2 cited
Weighted approximation for limsup sets
Gerardo González Robert, Mumtaz Hussain, Nikita Shulga +1
Theorems of Khintchine, Groshev, Jarník, and Besicovitch in Diophantine approximation are fundamental results on the metric properties of -well approximable sets. These foundati…