In this paper, we study a conjecture of the second author on determinants involving Legendre symbols. For example, we prove that [x+(i-jp)+( ip)y+( jp)z+(ijp)w]0≤ i,j≤(p-3)/2=x for any prime p≡34, where (·p) denotes the Legendre symbol.
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Liu et al. (2024) studied this question.
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