Author

Michael Reilly

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Preprint Sep 2026

Weighted averages and applications to sets of multiple recurrence

We introduce new techniques for determining combinatorial properties of sets of multiple recurrence by considering weighted averages with quickly growing weights. Our main result is a far-reaching generalization of Szemer\'edi's Theorem which additionally confirms a conjecture of Bergelson-Moreira-Richter and contains...

V. Bergelson, Michael Reilly · 0 citations