[MATHEDCC] Re: p-series error bound

Jerry Uhl (juhl@ncsa.uiuc.edu)
Tue, 10 Mar 1998 13:06:03 -0600

Sum[1/n^p,{n,1,Infinity}] converges to the Riemann Zeta function evalated at p.
If you play with this on Mathematica, you can see some nice values of
Zeta[even integers]
-Jerry

>Regards,
>
>On Mon, 9 Mar 1998, JOHN KING wrote:
>> Where can I find those sums? I know that when p=2, the sum is pi^2/6,
>> and I think I recall sums for the even powers; what about the odd
>> powers? What about rational powers?
>

----------------------------------------------------------------------
Jerry Uhl juhl@ncsa.uiuc.edu
Professor of Mathematics 1409 West Green Street
University of Illinois Urbana,Illinois 61801
Calculus&Mathematica Development Team

Any fool can know. The point is to understand.
------Albert Einstein

http://www-cm.math.uiuc.edu
http://www-cm.math.uiuc.edu/dep

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