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Shadow
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 Posted: Thu, 5 Nov 2009 16:44:00 UTC Post subject: Asymptotic (Number Theory) |
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My friend Eric told me this one, and I thought it interesting enough to post.
Consider the formula
 (p ranges over the primes)
Find a function  of an analytic variable,  , such that
 .
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outermeasure
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| Posted: Wed, 11 Nov 2009 14:00:16 UTC Post subject: Re: Asymptotic (Number Theory) |
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| Shadow wrote: | My friend Eric told me this one, and I thought it interesting enough to post.
Consider the formula
(p ranges over the primes)
Find a function of an analytic variable, , such that
. |
Presumably you can take a branch cut?
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Shadow
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Joined: 30 Mar 2005
Posts: 4528
Location: Urbana, IL
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| Posted: Thu, 12 Nov 2009 01:28:26 UTC Post subject: Re: Asymptotic (Number Theory) |
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| outermeasure wrote: | | Shadow wrote: | My friend Eric told me this one, and I thought it interesting enough to post.
Consider the formula
(p ranges over the primes)
Find a function of an analytic variable, , such that
. |
Presumably you can take a branch cut? |
Yes. And the right one is fairly obvious I would say.
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