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math.NT2024★ 2 cited
The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation
Lorenz Frühwirth, Manuel Hauke
Given a monotonically decreasing , Khintchine's Theorem provides an efficient tool to decide whether, for almost every , there are in…
math.NT2023
Diophantine conditions in the law of the iterated logarithm for lacunary systems
Christoph Aistleitner, Lorenz Frühwirth, Joscha Prochno
It is a classical observation that lacunary function systems exhibit many properties which are typical for systems of independent random variables. However, it had already been obs…