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On the denominators of harmonic numbers
Let be the -th harmonic number and let be its denominator. It
is well known that is even for every integer . In this paper, we
study the properties of . One of our results is: the set of positive
integers such that is divisible by the least common multiple of has density one. In particular, for any
positive integer , the set of positive integers such that is
divisible by has density one.Comment: 6 page
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