5 citations · 7 across the 5 of their papers we have counts for
5 papers · 1 filter
Triple correlation and long gaps in the spectrum of flat tori
Christoph Aistleitner, Valentin Blomer, Maksym Radziwiłł
We evaluate the triple correlation of eigenvalues of the Laplacian on generic flat tori in an averaged sense. As two consequence we show that (a) the limit inferior (resp. limit su…
Normal numbers with digit dependencies
Christoph Aistleitner, Veronica Becher, Olivier Carton
We give metric theorems for the property of Borel normality for real numbers under the assumption of digit dependencies in their expansion in a given integer base. We quantify prec…
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…
On large values of
Christoph Aistleitner, Kamalakshya Mahatab, Marc Munsch +1
In recent years a variant of the resonance method was developed which allowed to obtain improved -results for the Riemann zeta function along vertical lines in the critical stri…
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…