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Congruences involving $inom{2k}k^2inom{4k}{2k}m^{-k}$ | Zhi-Hong Sun
; | Date: |
15 Apr 2011 | Abstract: | Let $p>3$ be a prime, and let $m$ be an integer with $p
mid m$. In the
paper, by using the work of Ishii and Deuring’s theorem for elliptic curves
with complex multiplication we solve some conjectures of Zhi-Wei Sun concerning
$sum_{k=0}^{p-1}inom{2k}k^2inom{4k}{2k}m^{-k}mod {p^2}$. | Source: | arXiv, 1104.3047 | Services: | Forum | Review | PDF | Favorites |
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