An Inequality for the Arithmetical Function g(x)
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DOI:
https://doi.org/10.18311/jims/1939/17291Abstract
Let n = a1 + a2 + .......... + ap, and f(n) the maximum of the least common multiple of a1, a2, .. ., ap for all such positive a's. Landau has proved that if log f(x)=g(x), then
lim g(x)/(x logx)1/2 = 1. (1)
Let p denote a prime number.