On Sun's Conjectures for Truncated Jacobi-Symbol Determinants via Supersingular Elliptic Curves

Guo Li, Xiaoju Yan

We study the truncated Jacobi-symbol determinants $$\{c,d{\}}_n=\det {\left[\left(\frac{j^2+cjk+d{k}^2}{n}\right)\right]}_{2\le j,k\le n-2}$$ proposed by Zhi-Wei Sun in \cite{ZWSun} and…