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math.NT2018
On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric series
Yong Zhang, Hao Pan
Let be an odd prime and let be a positive integer. For any positive integer and , we have \begin{align*} \sum_{k=0}^{p^αn-1}\frac{(\frac12)_k}{k!}\cdot\f…
math.NT2015★ 2 cited
The Rodriguez-Villegas type congruences for truncated q-hypergeometric functions
Victor J. W. Guo, Hao Pan, Yong Zhang
We prove some Rodriguez-Villegas type congruences for truncated q-hypergeometric functions.
math.NT2013
On the divisibility of the truncated hypergeometric function 3F2
Hao Pan, Yong Zhang
We prove a result on the divisibility of the truncated hypergeometric function 3F2.
math.NT2012
Some 3-adic congruences for binomial sums
Yong Zhang, Hao Pan
We prove some 3-adic congruences for binomial sums, which were conjectured by Sun.
math.NT2011
Stern's type congruences for L(-k,χ)
Hao Pan, Yong Zhang
We prove several Stern's type congruences for generalized bernoulli numbers.