Bounding the Sum of Square Roots via Lattice Reduction

Qi Cheng, Xianmeng Meng, Celi Sun +1

Let $k$ and $n$ be positive integers. Define $R(n,k)$ to be the minimum positive value of $$|e_i\sqrt{s_1}+e_2\sqrt{s_2}+...+e_k\sqrt{s_k}-t|$$ where $ s_1, s_2, ...,…