2 papers
math.CO2026
On growth rates of infinite and finite sumsets
Felipe Hernández, Luke Hetzel
We study growth rates of infinite and finite sumset patterns in sets of positive density. In the infinite setting, we show that no such rate exists, answering a question of Kra, Mo…
math.DS2025
On infinite sumsets and sets of multiple recurrence
Luke Hetzel
We answer two questions of Kra, Moreira, Richter and Robertson regarding the existence of infinite sumsets of the form in dense and sparse sets of integers and the relation…