Shaofang Hong

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math.NT2021

On the number of zeros of diagonal quartic forms over finite fields

Junyong Zhao, Yulu Feng, Shaofang Hong +1

Let $F_{q}$ be the finite field of $q = p^{m} \equiv 1 (mod 4)$ elements with $p$ being an odd prime and $m$ being a positive integer. For $c, y \in F_{q}$ with $y\in\mathbb…

math.NT2014

Asymptotic behavior of the least common multiple of consecutive reducible quadratic progression terms

Guoyou Qian, Shaofang Hong

Let $l$ and $m$ be two integers with $l > m \geq 0$ , and let $f (x)$ be the product of two linear polynomials with integer coefficients. In this paper, we show that $\log {\rm lcm}_{mn<…