An ergodic approach to equations of the form $x+y=\lfloor \alpha (n)\rfloor$

Vitaly Bergelson, Hao Pan, Saúl Rodríguez Martín

Motivated by questions and results of Erdős, Sárközy and Sós (1989), and Khalfalah and Szemerédi (2006), we introduce an ergodic approach to additive problems concerning solutions…