On some determinants involving Jacobi symbols

Dmitry Krachun, Fedor Petrov, Zhi-Wei Sun +1

In this paper we study some conjectures on determinants with Jacobi symbol entries posed by Z.-W. Sun. For any positive integer $n\equiv 3(\mathrm{mod}4)$, we show that $$(6,1)_n=[6,1]_n=(3,…