Shaofang Hong

activity

20082026

most citedOn deep holes of standard Reed-Solomon codes

22 citations · 137 across the 47 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

math.NT2018

A certain reciprocal power sum is never an integer

Junyong Zhao, Shaofang Hong, Xiao Jiang

By $(Z^{+})^{\infty}$ we denote the set of all the infinite sequences $S = {s_{i}}_{i = 1}^{\infty}$ of positive integers (note that all the $s_{i}$ are not necessarily…

math.NT2018

The 2-adic valuations of Stirling numbers of the first kind

Min Qiu, Shaofang Hong

Let $n$ and $k$ be positive integers. We denote by $v_{2} (n)$ the 2-adic valuation of $n$ . The Stirling numbers of the first kind, denoted by $s (n, k)$ , counts the number of permutati…

math.NT2018★ 2 cited

Notes On a Borwein and Choi's conjecture of cyclotomic polynomials with coefficients $\pm 1$

Shaofang Hong, Wei Cao

Borwein and Choi conjectured that a polynomial $P (x)$ with coefficients $\pm 1$ of degree $N - 1$ is cyclotomic iff $$P(x)=\pm Φ_{p_1}(\pm x)Φ_{p_2}(\pm x^{p_1})\cdots Φ_{p_r}(\pm x^{…

math.NT2018

A generalization of a theorem of Nagell

Yulu Feng, Shaofang Hong, Xiao Jiang +1

Let $n$ be a positive integer. In 1915, Theisinger proved that if $n \geq 2$ , then the $n$ -th harmonic sum $\sum_{k = 1}^{n} \frac{1}{k}$ is not an integer. Let $a$ and $b$ be positive in…

math.NT2018

The Igusa local zeta functions of superelliptic curves

Qiuyu Yin, Shaofang Hong

Let $K$ be a local field and $f (x) \in K [x]$ be a non-constant polynomial. The local zeta function $Z_{f} (s, χ)$ was first introduced by Weil, then studied in detail by Igusa. When ${…

A certain reciprocal power sum is never an integer

The 2-adic valuations of Stirling numbers of the first kind

Notes On a Borwein and Choi's conjecture of cyclotomic polynomials with coefficients ±1

A generalization of a theorem of Nagell

The Igusa local zeta functions of superelliptic curves

Notes On a Borwein and Choi's conjecture of cyclotomic polynomials with coefficients $\pm 1$