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 2009Show all

3 papers · 1 filter

math.NT2009★ 2 cited

Nair's and Farhi's identities involving the least common multiple of binomial coefficients are equivalent

Shaofang Hong

In 1982, Nair proved the identity: $lcm ((1 k), 2 (2 k), > ..., k (k k)) = lcm (1, 2, ..., k), \forall k \in N .$ Recently, Farhi proved a new…

math.NT2009

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

Shaofang Hong, Jianrong Zhao, Wei Zhao

In this paper, we investigate the 2-adic valuations of the Stirling numbers $S (n, k)$ of the second kind. We show that $v_{2} (S (4 i, 5)) = v_{2} (S (4 i + 3, 5))$ if and only if $i\not\equiv 7…

math.NT2009★ 14 cited

The least common multiple of consecutive arithmetic progression terms

Shaofang Hong, Guoyou Qian

Let $k \geq 0, a \geq 1$ and $b \geq 0$ be integers. We define the arithmetic function $g_{k, a, b}$ for any positive integer $n$ by $g_{k,a,b}(n):=\frac{(b+na)(b+(n+1)a)...(b+(n+k)a)} {{\r…