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math.NT2024
The Duffin-Schaeffer conjecture with a moving target
Manuel Hauke, Felipe A. Ramirez
We prove the inhomogeneous generalization of the Duffin-Schaeffer conjecture in dimension . That is, given and $ψ:\mathbb{N}\to\mathbb{R}_{\g…
math.NT2024★ 1 cited
On Inhomogeneous Poissonian Pair Correlations
Manuel Hauke, Agamemnon Zafeiropoulos
We study the notion of inhomogeneous Poissonian pair correlations, proving several properties that show similarities and differences to its homogeneous counterpart. In particular,…
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…