In this paper we study some determinants and permanents.In particular,we investigate the new-type determinants det[(i2+cij+dj2)p-2]0≤i,j≤p-1 and det[(i2+cij+dj2)p-2]1≤i,j≤p-1 modulo an odd prime p,where c and d are integers.We also pose some conjectures for further research.
determinantpermanentp-adic congruenceLegendre symbol
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