Huaiyin Normal University

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20082022

most citedTunable double optomechanically induced transparency in an optomechanical system

259 citations

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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.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…

math.NT2013★ 2 cited

Congruences for Domb and Almkvist-Zudilin numbers

Zhi-Hong Sun

In this paper we prove some transformation formulae for congruences modulo a prime and deduce some congruences for Domb numbers and Almkvist-Zudilin numbers. We also pose some conj…

Quartic residues and sums involving (2k4k​)

Congruences for sequences analogous to Euler numbers

Congruences for Domb and Almkvist-Zudilin numbers

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