2 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
Victor Beresnevich, Manuel Hauke, Sanju Velani
The most versatile version of the classical divergence Borel-Cantelli lemma shows that for any divergent sequence of events in a probability space satisfying a quasi-independ…
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…
On Birkhoff sums that satisfy no temporal distributional limit theorem for almost every irrational
Lorenz Frühwirth, Manuel Hauke
Dolgpoyat and Sarig showed that for any piecewise smooth function and almost every pair , $S_N(f,α,x_0) :=…
A Signature-Based Gröbner Basis Algorithm with Tail-Reduced Reductors (M5GB)
Manuel Hauke, Lukas Lamster, Reinhard Lüftenegger +1
Gröbner bases are an important tool in computational algebra and, especially in cryptography, often serve as a boilerplate for solving systems of polynomial equations. Research reg…
Weak Poissonian Correlations
Manuel Hauke, Agamemnon Zafeiropoulos
We examine a property of sequences called Poissonian pair correlations with parameter (abbreviated as -PPC). We prove that when the property of…