32 citations · 208 across the 38 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.CO2023★ 3 cited
Problems on infinite sumset configurations in the integers and beyond
Bryna Kra, Joel Moreira, Florian K. Richter +1
In contrast to finite arithmetic configurations, relatively little is known about which infinite patterns can be found in every set of natural numbers with positive density. Buildi…
math.DS2023
On the local Fourier uniformity problem for small sets
Adam Kanigowski, Mariusz Lemańczyk, Florian Karl Richter +1
We consider vanishing properties of exponential sums of the Liouville function of the form $$ \lim_{H\to\infty}\limsup_{X\to\infty}\frac{1}{\log X}\sum_{m\leq X}\frac{1}{m}\sup…
math.DS2023
On the maximal spectral type of nilsystems
Ethan Ackelsberg, Florian K. Richter, Or Shalom
Let be an ergodic -step nilsystem for . We adapt an argument of Parry to show that decomposes as a sum of a subspace with discrete spectrum and a…