Manuel Hauke

activity

20212025

most citedThe Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation

2 citations · 4 across the 21 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.NT2021

Weak Poissonian Correlations

Manuel Hauke, Agamemnon Zafeiropoulos

We examine a property of sequences called Poissonian pair correlations with parameter $0 ⩽ β ⩽ 1$ (abbreviated as $β$ -PPC). We prove that when $β < 1,$ the property of…

math.NT2021

On extreme values for the Sudler product of quadratic irrationals

Manuel Hauke

Given a real number $α$ and a natural number $N$ , the Sudler product is defined by $P_{N} (α) = \prod_{r = 1}^{N} 2 ∣ sin (π (r α)) ∣ .$ Denoting by $F_{n}$ th…

math.NT2021

Poissonian correlations of higher orders

Manuel Hauke, Agamemnon Zafeiropoulos

We show that any sequence $(x_{n})_{n \in N} \subseteq [0, 1]$ that has Poissonian correlations of $k$ -th order is uniformly distributed, also providing a quantitative descri…