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16 July 2020
 
  » arxiv » 1104.3047

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Congruences involving $inom{2k}k^2inom{4k}{2k}m^{-k}$
Zhi-Hong Sun ;
Date 15 Apr 2011
AbstractLet $p>3$ 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
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