The Furstenberg-Sárközy theorem for sums of an even number of odd powers

Alexandros Kalogirou, Andrew Lott, Ákos Magyar +1

We obtain a Furstenberg-Sárközy-type result for sets $A\subset [N]$ whose difference set $A-A$ does not contain the sum of $s$-many $k$-th powers of positive integers, with $k>1$ o…