Inhomogeneous Diophantine approximation with general error functions Lingmin Liao, Michał Rams (2013) Acta Arithmetica Let α be an irrational and φ: ℕ → ℝ⁺ be a function decreasing to zero. Let ω ( α ) : = s u p θ ≥ 1 : l i m i n f n → ∞ n θ | | n α | = 0 . F o r a n y α ...
Iterated Cesàro averages, frequencies of digits, and Baire category J. Hyde, V. Laschos, L. Olsen, I. Petrykiewicz, A. Shaw (2010) Acta Arithmetica