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Article Dans Une Revue Journal of Number Theory Année : 2012

Proof of some conjectures of Z.-W. Sun on congruences for Apery polynomials

Résumé

The Apery polynomials are defined by $A_n(x)=\sum_{k=0}^{n}{n\choose k}^2{n+k\choose k}^2 x^k$ for all nonnegative integers $n$. We confirm several conjectures of Z.-W. Sun on the congruences for the sum $\sum_{k=0}^{n-1}(-1)^k(2k+1) A_k(x)$ with $x\in Z$.

Dates et versions

hal-00863459 , version 1 (18-09-2013)

Identifiants

Citer

Victor J. W. Guo, Jiang Zeng. Proof of some conjectures of Z.-W. Sun on congruences for Apery polynomials. Journal of Number Theory, 2012, 132 (8), pp.1731-1740. ⟨10.1016/j.jnt.2012.02.004⟩. ⟨hal-00863459⟩
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