8 citations · 19 across the 14 of their papers we have counts for
4 papers · 1 filter
Polynomial actions of rings of integers of global fields and quasirandomness of Paley-type graphs
Ethan Ackelsberg, Vitaly Bergelson
The goal of this paper is to undertake an in-depth study of the phenomenon behind the Furstenberg--Sárközy theorem, which, in its modern form due to Kamae and Mendès-France, states…
A Weyl equidistribution theorem over function fields
Ethan Ackelsberg
A classical theorem of Weyl states that any polynomial with an irrational coefficient other than the constant term is uniformly distributed mod 1. We prove a new function field ana…
Infinite polynomial patterns in large subsets of the rational numbers
Ethan Ackelsberg
Inspired by a question of Kra, Moreira, Richter, and Robertson, we prove two new results about infinite polynomial configurations in large subsets of the rational numbers. First, g…
Equidistribution in 2-Nilpotent Polish Groups and triple restricted sumsets
Ethan Ackelsberg, Asgar Jamneshan
The aim of this paper is to establish a Ratner-type equidistribution theorem for orbits on homogeneous spaces associated with 2-nilpotent locally compact Polish groups under the ac…