on a theorem of liouville
Ion Cucurezeanu;
on a theorem of liouville
A proof of the following theorem is given: The equation \((k-1)! (p-k)!+ (-1)^{k+1} =p^ m\) has no solution in primes \(p>7\) and natural numbers \(m\) and \(k\) with \(1\leq k\leq p\).
Liouville's theorem, generalization of Wilson's theorem, Congruences; primitive roots; residue systems
Liouville's theorem, generalization of Wilson's theorem, Congruences; primitive roots; residue systems
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citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 0
Average
Average
Average
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