Re: A question on Reimann (ref Prime Obsession by John Derbyshire)




but is it true for, for example x^(0.002) ?

Yes.

Is that what he means?

I don't know. Perhaps that he only has natural exponents in mind. But it
is true that lim_{x -> + oo} log(x)/x^a = 0 for any _a_ greater than
zero.

Best regards,

Jose Carlos Santos

Thanks Jose
It is a book written for non-mathematicians like me so I expect you
are correct. I understand it now. I was trying to demonstrate it to
myself using an Excel chart, but the numbers get big very easily.
Hopefully I can continue with the book and publish my proof shortly
after Christmas ;-)

Tony
.



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