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math.NT2019
A local-global theorem for -adic supercongruences
Hao Pan, Roberto Tauraso, Chen Wang
Let denote the ring of all -adic integers and call a hyperplane over , where at…
math.NT2019
Two supercongruences related to multiple harmonic sums
Roberto Tauraso
Let be a prime and let be a -adic integer. We provide two supercongruences for truncated series of the form $$\sum_{k=1}^{p-1} \frac{(x)_k}{(1)_k}\cdot \frac{1}{k}\sum_{…