The Manickam-Miklós-Singhi Conjectures for Sets and Vector Spaces

Ameera Chowdhury, Ghassan Sarkis, Shahriar Shahriari

More than twenty-five years ago, Manickam, Miklós, and Singhi conjectured that for positive integers $n,k$ with $n\ge 4k$, every set of $n$ real numbers with nonnegative sum has…