2 citations · 3 across the 11 of their papers we have counts for
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The discrepancy of with respect to certain probability measures
Niclas Technau, Agamemnon Zafeiropoulos
Let be a lacunary sequence of integers. We show that if is a probability measure on such that , then for -almost…
Higher-rank Bohr sets and multiplicative diophantine approximation
Sam Chow, Niclas Technau
Gallagher's theorem is a sharpening and extension of the Littlewood conjecture that holds for almost all tuples of real numbers. We provide a fibre refinement, solving a problem po…
On linear relations for Dirichlet series formed by recursive sequences of second order
Carsten Elsner, Niclas Technau
Let and be the Fibonacci and Lucas numbers, respectively. Four corresponding zeta functions in are defined by \[ζ_F(s) \,:=\, \sum_{n=1}^{\infty} \frac{1}{F_n^s}\,,…
The Duffin-Schaeffer conjecture with extra divergence
Christoph Aistleitner, Thomas Lachmann, Marc Munsch +2
The Duffin-Schaeffer conjecture is a fundamental unsolved problem in metric number theory. It asserts that for every non-negative function fo…
There is no Khintchine threshold for metric pair correlations
Christoph Aistleitner, Thomas Lachmann, Niclas Technau
We consider sequences of the form mod 1, where and where is a strictly increasing sequence of positive in…