Ethan Ackelsberg

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20212026

most citedKhintchine-type recurrence for 3-point configurations

8 citations · 19 across the 14 of their papers we have counts for

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math.CO2025

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…

math.CO2025

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…

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…

Polynomial actions of rings of integers of global fields and quasirandomness of Paley-type graphs

Infinite polynomial patterns in large subsets of the rational numbers

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

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