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Article overview
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Congruences concerning Legendre polynomials | Zhi-Hong Sun
; | Date: |
17 Dec 2010 | Abstract: | Let $p$ be an odd prime. In the paper, by using the properties of Legendre
polynomials we prove some congruences for
$sum_{k=0}^{frac{p-1}2}inom{2k}k^2m^{-k}mod {p^2}$. In particular, we
confirm several conjectures of Z.W. Sun. We also pose 13 conjectures on
supercongruences. | Source: | arXiv, 1012.3833 | Services: | Forum | Review | PDF | Favorites |
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