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May 30th, 2013, 05:36 PM   #1
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zeta function

Hello,

can someone help me with prooving this:



All what I did is, that I write it as a dobule sum but I don't know what next. :/



Thanks in advance.
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May 31st, 2013, 12:22 AM   #2
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Re: zeta function

Hi !
invert the order of two sums
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May 31st, 2013, 02:04 AM   #3
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Re: zeta function

Hello

thanks for your answer, I have a couple of more question. I thought about it, but am I allowed to invert these two sums because they are not finite? and even if I am what happened with 1 in the brackets?

and what's more I got this:

and this is not good because when n=1 there is a 0 in the denominator

Am I doing something wrong?

Thanks.
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May 31st, 2013, 11:36 PM   #4
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Re: zeta function

You missed something. Look carefully at the important first step in the attachement to my preceding post.
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June 1st, 2013, 06:10 AM   #5
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Re: zeta function

Aha, ok I got it now, thanks for your help.
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