prove that :

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- Nov 29th 2009, 11:43 PMdhiabprove that series
prove that :

- Nov 30th 2009, 12:40 AMsimplependulum
- Nov 30th 2009, 02:03 AMchisigma
- Nov 30th 2009, 02:13 AMsimplependulum
Oh , yes

If i say comparing with the series , it should be , but not .

Or say compare the coefficient of after dividing the factor - Nov 30th 2009, 02:54 AMtonio

Take a peek at this very nice paper: http://www.math.titech.ac.jp/~inoue/...lder/zeta2.pdf

You have there no less than 14 different proofs of the result , from rather basic ones to those that require more knowledge....enjoy!

Tonio - Nov 30th 2009, 02:56 AMKrizalid
- Nov 30th 2009, 02:59 AMJameson
I believe the OP mostly posts challenge problems but places them in the regular forums. This thread has been answered many times over and I am going to PM the OP about using the Challenge Problems forum to save everyone time.