Zhi-Hong Sun

most citedCongruences concerning Legendre polynomials

47 citations · 52 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2011

Congruences involving $(k 2 k)^{2} (k 3 k) m^{- k}$

Zhi-Hong Sun

Let $p > 3$ be a prime, and let $m$ be an integer with $p ∤ m$ . In the paper, based on the work of Brillhart and Morton, by using the work of Ishii and Deuring's theorem for ellip…

math.NT2011★ 2 cited

Congruences involving $(k 2 k)^{2} (2 k 4 k) m^{- k}$

Zhi-Hong Sun

Let $p > 3$ be a prime, and let $m$ be an integer with $p ∤ m$ . In the paper, by using the work of Ishii and Deuring's theorem for elliptic curves with complex multiplication we s…

math.NT2011★ 3 cited

Some supercongruences modulo $p^{2}$

Zhi-Hong Sun

Let $p > 3$ be a prime, and let $m$ be an integer with $p ∤ m$ . In the paper we prove some supercongruences concerning $$\align &\sum_{k=0}^{p-1}\frac{\binom{2k}k\binom{3k}k}{54^k…

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.CO2010

Some inversion formulas and formulas for Stirling numbers

Zhi-Hong Sun

In the paper we present some new inversion formulas and two new formulas for Stirling numbers.

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…

Congruences involving (k2k​)2(k3k​)m−k

Congruences involving (k2k​)2(2k4k​)m−k

Some supercongruences modulo p2

Identities and congruences for a new sequence

Some inversion formulas and formulas for Stirling numbers

Congruences concerning Legendre polynomials

Congruences involving $(k 2 k)^{2} (k 3 k) m^{- k}$

Congruences involving $(k 2 k)^{2} (2 k 4 k) m^{- k}$

Some supercongruences modulo $p^{2}$