A New Quadratic Bound for the Manickam-Miklós-Singhi Conjecture

Ameera Chowdhury, Ghassan Sarkis, Shahriar Shahriari

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