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On some determinants and permanents (2207.13039v3)
Published 26 Jul 2022 in math.NT
Abstract: In this paper we study some determinants and permanents. In particular, we investigate the new type determinants $$\det[(i2+cij+dj2){p-2}]_{1\le i,j\le p-1}\ \text{and} \ \det[(i2+cij+dj2){p-2}]_{0\le i,j\le p-1}$$ modulo an odd prime $p$, where $c$ and $d$ are integers. We also pose some conjectures for further research.
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