Ethan Ackelsberg

collaborators

3 papers

math.CO2024

Counterexamples to generalizations of the Erdős $B + B + t$ problem

Ethan Ackelsberg

Following their resolution of the Erdős $B + B + t$ problem, Kra Moreira, Richter, and Robertson posed a number of questions and conjectures related to infinite configurations in posit…

math.DS2023

On the maximal spectral type of nilsystems

Ethan Ackelsberg, Florian K. Richter, Or Shalom

Let $(G /Γ, R_{a})$ be an ergodic $k$ -step nilsystem for $k \geq 2$ . We adapt an argument of Parry to show that $L^{2} (G /Γ)$ decomposes as a sum of a subspace with discrete spectrum and a…

math.NT2023

Polynomial patterns in subsets of large finite fields of low characteristic

Ethan Ackelsberg, Vitaly Bergelson

We prove a low characteristic counterpart to the main result in (Peluse, 2019), establishing power saving bounds for the polynomial Szemerédi theorem for certain families of polyno…

Counterexamples to generalizations of the Erdős B+B+t problem

On the maximal spectral type of nilsystems

Polynomial patterns in subsets of large finite fields of low characteristic

Counterexamples to generalizations of the Erdős $B + B + t$ problem