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A Family of Supercongruences Involving Multiple Harmonic Sums
In recent years, the congruence $$ \sum_{\substack{i+j+k=p\\ i, j, k>0}} \frac1{ijk} \equiv -2 B_{p-3} \pmod{p}, $$ first discovered by the last author have been generalized by either increasing the number of indices and considering the corresponding supercongruences, or by considering the alternating version of multiple harmonic sums.
Number Theory 11A07, 11B68
Multi-Domain Neural Machine Translation with Word-Level Domain Context Discrimination
Based on this intuition, in this paper, we devote to distinguishing and exploiting word-level domain contexts for multi-domain NMT.
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