Find sharp density bounds for sum-free subsets of finite cyclic groups.
Sum-free sets in finite groups
Established so far
The middle interval is sum-free for the checked prime examples.
Ideas
Test the middle interval in prime cyclic groupsThe candidate works at p = 7 and 13. The endpoint convention still needs checking.Open idea ›
Use the first Fourier coefficient for an upper boundThe current inequality leaves a gap at density 1/3.Open idea ›
Compare translates of a dense sum-free setTwo translate intersections reduce to a counting inequality. The final estimate is open.Open idea ›
Try a weighted count of representationsThe current examples do not establish the proposed weighted inequality.Open idea ›