Rotation Symmetries of Sequential Matrices with Applications to the Jacobi Symbol

Yemeen Ayub, Charles L. Samuels

Suppose that $p$ is an odd prime and $\left(\frac{\cdot }{p}\right)$ denotes the Legendre symbol modulo $p$. If $p$ is has the form $p=n^2+1$ then one easily verifies that $\genfra…