Chao Huang

collaborators

2 papers

math.NT2020

Legendre Symbol of $\prod f (i, j)$ over $0 < i < j < p /2, p ∤ f (i, j)$

Chao Huang

Let $p > 3$ be a prime. We investigate Legendre symbol of $p ∤ f ( i , j ) 0 < i < j < p /2 \prod f (i, j)$ , where $i, j \in Z, f (i, j)$ is a linear or quadratic for…

math.NT2020

Balanced paring of ${1, 2, \dots, (p - 1) /2}$ for $p \equiv 1 (mod 4)$

Chao Huang

Let $p \equiv 1 (mod 4)$ be a prime. Write $t = \prod_{x = 1}^{(p - 1) /2} x$ . Since $t^{2} \equiv - 1 (mod p)$ , we can divide ${1, 2, \dots, (p - 1) /2}$ into $(p - 1) /4$ ordered pairs so tha…

Legendre Symbol of ∏f(i,j) over 0<i<j<p/2, p∤f(i,j)

Balanced paring of {1,2,…,(p−1)/2} for p≡1(mod4)

Legendre Symbol of $\prod f (i, j)$ over $0 < i < j < p /2, p ∤ f (i, j)$

Balanced paring of ${1, 2, \dots, (p - 1) /2}$ for $p \equiv 1 (mod 4)$