great paper on riemann zeta functions as they relate to chaotic syste,s

Anville Azote anville.azote at gmail.com
Fri Dec 1 14:45:18 CST 2006


On 12/1/06, Ray Easton <kraimie at kraimie.net> wrote:
> As for the Wikipedia article, it seems a little misleading.   The
> functions described in the "Applications" section are functions that
> are "somewhat like" the Riemann zeta function.  So far as I know (and,
> again, I could be wrong) the Riemann zeta function has no physical
> applications.
>

I definitely saw the Riemann zeta function used in my grad-school
statistical physics class, during the treatment of quantum statistical
mechanics.  (It pertains to Bose-Einstein condensation, subject of a
Nobel a little while back.)  Also, the statements about regularizing
divergent series are correct, although the subject is more than a
little technical.

-A. A.



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