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Article overview
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On divisibility of sums of Apery polynomials | Hao Pan
; | Date: |
7 Aug 2011 | Abstract: | For any positive integers $m$ and $alpha$, we prove that
$$sum_{k=0}^{n-1}epsilon^k(2k+1)A_k^{(alpha)}(x)^mequiv0pmod{n}, $$ where
$epsilonin{1,-1}$ and $$
A_n^{(alpha)}(x)=sum_{k=0}^ninom{n}{k}^{alpha}inom{n+k}{k}^{alpha}x^k.$$ | Source: | arXiv, 1108.1546 | Services: | Forum | Review | PDF | Favorites |
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