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- W1496755313 abstract "Let $p>3$ be a prime, and let $m$ be an integer with $pnmid m$. In the paper we prove some supercongruences concerning $$align &sum_{k=0}^{p-1}frac{binom{2k}kbinom{3k}k}{54^k}, sum_{k=0}^{p-1}frac{binom{2k}kbinom{4k}{2k}}{128^k}, sum_{k=0}^{p-1}frac{binom{3k}kbinom{6k}{3k}}{432^k}, &sum_{k=0}^{p-1}frac{binom{2k}k^2binom{3k}{k}}{m^k}, sum_{k=0}^{p-1}frac{binom{2k}k^2binom{4k}{2k}}{m^k}, sum_{k=0}^{p-1}f{binom{2k}kbinom{3k}{k}binom{6k}{3k}}{m^k}mod {p^2}.endalign$$ Thus we solve some conjectures of Zhi-Wei Sun and the author." @default.
- W1496755313 created "2016-06-24" @default.
- W1496755313 creator A5069138836 @default.
- W1496755313 date "2011-01-05" @default.
- W1496755313 modified "2023-09-22" @default.
- W1496755313 title "Some supercongruences modulo $p^2$" @default.
- W1496755313 cites W1989022446 @default.
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- W1496755313 hasPublicationYear "2011" @default.
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