Huaiyin Normal University

output

20082022

most citedTunable double optomechanically induced transparency in an optomechanical system

259 citations

Showing 2013Show all

9 papers · 1 filter

math.NT2013

Quartic residues and sums involving $(2 k 4 k)$

Zhi-Hong Sun

Let $p$ be an odd prime and let $m \neq \equiv 0 (mod p)$ be a rational p-adic integer. In this paper we reveal the connection between quartic residues and the sum $\sum_{k=0}^{[p/4]}…

math.CO2013★ 9 cited

Basic and bibasic identities related to divisor functions

Victor J. W. Guo, Jiang Zeng

Using basic hypergeometric functions and partial fraction decomposition we give a new kind of generalization of identities due to Uchimura, Dilcher, Van Hamme, Prodinger, and Chen-…

math.CO2013★ 3 cited

Inequalities for binomial coefficients

Zhi-Hong Sun

In this paper we prove several inequalities for binomial coefficients. For instance, if $k$ and $n$ are positive integers such that $n \geq 400$ and $[\frac{n}{5}] \leq k \leq [\frac{n}{2}]$ ,…

math.CO2013★ 1 cited

On the properties of a sequence concerning binomial coefficients

Daeyeoul Kim, Ayyadurai Sankaranarayanan, Zhi-Hong Sun

For $n \geq 3$ let $f (n)$ be the least positive integer $k$ such that $(k n) > \frac{2 ^{n}}{n + 1}$ . In this paper we investigate the properties of $f (n)$ .

quant-ph2013★ 61 cited

Controllable optical bistability based on photons and phonons in a two-mode optomechanical system

Cheng Jiang, Hongxiang Liu, Yuanshun Cui +3

We explore theoretically the bistable behavior of intracavity photon number in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical re…

math.NT2013

Congruences for sequences analogous to Euler numbers

Zhi-Hong Sun, Hai-Yan Wang

For a given real number $a$ we define the sequence ${E_{n, a}}$ by $E_{0, a} = 1$ and $E_{n, a} = - a \sum_{k = 1}^{[n /2]} (2 k n) E_{n - 2 k, a}$ $(n \geq 1)$ , where $[x]$ is the greatest in…