Huaiyin Normal University

output

20082022

most citedTunable double optomechanically induced transparency in an optomechanical system

259 citations

Showing 2010 · math.NTShow all

4 papers · 2 filters

math.NT2010

Identities and congruences for a new sequence

Zhi-Hong Sun

Let $[x]$ be the greatest integer not exceeding $x$ . In the paper we introduce the sequence ${U_{n}}$ given by $U_{0} = 1$ and $U_n=-2\sum_{k=1}^{[n/2]}\binom n{2k}U_{n-2k}\quad(n\ge 1…

math.NT2010★ 47 cited

Congruences concerning Legendre polynomials

Zhi-Hong Sun

Let $p$ be an odd prime. In the paper, by using the properties of Legendre polynomials we prove some congruences for $\sum_{k = 0}^{\frac{p - 1}{2}} (k 2 k)^{2} m^{- k} mod p^{2}$ . In par…

math.NT2010

An extension of Stern's congruence

Zhi-Hong Sun, Lin-Lin Wang

Let ${E_{n}}$ be the Euler numbers. In the paper we determine $E_{2^{m} k + b} - E_{b}$ modulo $2^{m + 7}$ , where $k$ and $m$ are positive integers and $b \in 0, 2, 4, ...$ .

math.NT2010★ 1 cited

Congruences concerning Legendre polynomials II

Zhi-Hong Sun

Let $p > 3$ be a prime, and let $m$ be an integer with $p ∤ m$ . In the paper we solve some conjectures of Z.W. Sun concerning $\sum_{k = 0}^{p - 1} (k 2 k)^{3} / m^{k} (mod p^{2})$ , $\sum_…