Re: Zeta Function Limit

Julian V. Noble schrieb in Nachricht <news:[EMAIL PROTECTED]>...
>Puff Addison wrote:
>> Julian V. Noble wrote:
>> > Nicholas wrote:

Hello Julian,

>> >>I'm looking for the proof of the following statement, concerning
>> >>Euler's Zeta Function z(s):
>> >   ^^^^^
>> >   As an earlier poster said, it's the Riemann zeta function!
>>
>> The original definition as an infinite sum, as below, with s> 1? real
>> was given by Euler, Riemann showed how to extend it to the whole of teh
>> complex plane. So it is reasonable to talk of Euler's zeta function to
>> distinguish it from Riemann's.
>
>Thanks for this info. I'll incorporate it in my book.


See also
http://www.math.niu.edu/~rusin/known-math/99/zeta2
A scan of Euler's paper
   De summis serierum reciprocarum.
   Comm. acad. sci. Petropol. 7(1740), p. 123-134
is online:
http://math.dartmouth.edu/~euler/   -->  Enestrom  -->  041

Regards
  Hermann
--

>Julian V. Noble
>Professor Emeritus of Physics
>[EMAIL PROTECTED]
>    ^^^^^^^^^^^^^^^^^^
>http://galileo.phys.virginia.edu/~jvn/