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 2014Show all

5 papers · 1 filter

math.NT2014

The 2-adic valuations of differences of Stirling numbers of the second kind

Wei Zhao, Jianrong Zhao, Shaofang Hong

Let $m, n, k$ and $c$ be positive integers. Let $ν_{2} (k)$ be the 2-adic valuation of $k$ . By $S (n, k)$ we denote the Stirling numbers of the second kind. In this paper, we first esta…

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<…

math.NT2014

Necessary conditions for reversed Dickson polynomials of the second kind to be permutational

Shaofang Hong, Xiaoer Qin

In this paper, we present several necessary conditions for the reversed Dickson polynomial $E_{n} (1, x)$ of the second kind to be a permutation of $F_{q}$ . In particular,…

math.NT2014

New results on permutation polynomials over finite fields

Xiaoer Qin, Guoyou Qian, Shaofang Hong

In this paper, we get several new results on permutation polynomials over finite fields. First, by using the linear translator, we construct permutation polynomials of the forms $L…

math.NT2014

The elementary symmetric functions of a reciprocal polynomial sequence

Yuanyuan Luo, Shaofang Hong, Guoyou Qian +1

Erdös and Niven proved in 1946 that for any positive integers $m$ and $d$ , there are at most finitely many integers $n$ for which at least one of the elementary symmetric functions…