Talk:Harmonic divisor number

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[edit] Proposed merger

Harmonic divisor number and Ore's harmonic number are about the same thing. "Harmonic divisor number" seems to be the more common name based on Google. I didn't know these numbers before seeing the articles today. PrimeHunter 01:38, 31 January 2007 (UTC)

My general preference would be to go with what OEIS calls it, over Google or MathWorld which I'd consider less definitive. In this case I think that should be Ore number (currently a redirect to harmonic divisor number) since there is a different and more important usage occupying the harmonic number name. "Ore number" is also the name used in the title of one of the papers cited by OEIS. But I don't feel strongly about the naming issue; any of them will work. As for whether or not to merge, how can there be any question? They are on the same subject, they should be merged. —David Eppstein 02:35, 31 January 2007 (UTC)

I agree the merger is obvious. I just hoped for more knowledgeable people to discuss name and maybe perform the merger. Wikipedia:Naming conventions (common names) suggests to use the most common name and perhaps use Google. Most Google hits on "Ore number" may be unrelated, but there are still many relevant hits and "Ore number" sounds OK to me. "Harmonic divisor number" seems more common (but Google hits may be Wikipedia-influenced) and descriptive. Harmonic number is not about divisors so I don't think the risk of confusion is large. PrimeHunter 13:51, 31 January 2007 (UTC)

I have merged Ore's harmonic number into Harmonic divisor number. PrimeHunter 13:00, 6 March 2007 (UTC)

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What's the 4 and 12 doing in the first two formulae? What do they have to do with the harmonic mean? (Besides the fact that they're a factor of the harmonic mean of the divisors, obviously.) —Preceding unsigned comment added by 83.101.8.8 (talk) 07:49, 25 May 2008 (UTC)

The harmonic mean has as its numerator the number of terms whose mean is being taken. There are four terms in the first harmonic mean and twelve terms in the second harmonic mean. —David Eppstein (talk) 08:01, 25 May 2008 (UTC)