Deyi Chen

collaborators

2 papers

math.NT2024

On determinants involving $(\frac{j + k}{p}) \pm (\frac{j - k}{p})$

Deyi Chen, Zhi-Wei Sun

Let $p = 2 n + 1$ be an odd prime. In this paper, we mainly evaluate determinants involving $(\frac{j + k}{p}) \pm (\frac{j - k}{p})$ , where $(\frac{\cdot}{p})$ denotes the Legendre symbol. When $…

math.NT2024

On determinants involving $(\frac{j ^{2} - k ^{2}}{p})$ and $(\frac{j k}{p})$

Deyi Chen, Zhi-Wei Sun

Let $p$ be an odd prime and let $(\frac{\cdot}{p})$ be the Legendre symbol. In this paper, we study the determinant $$\det\left[\left(\frac{j^2-k^2}p\right)+\left(\frac{jk}p\right)w\…

On determinants involving (pj+k​)±(pj−k​)

On determinants involving (pj2−k2​) and (pjk​)

On determinants involving $(\frac{j + k}{p}) \pm (\frac{j - k}{p})$

On determinants involving $(\frac{j ^{2} - k ^{2}}{p})$ and $(\frac{j k}{p})$