The funcation series arise in the invastigation of a interesting problem. How to find the sum? help in need. Here it is: the sum is taken over all positive integers .
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You can use the following result: If is analytic on except by a finite number of poles ( ) and as then, You'll obtain where .
thanks for your help. ha, complex analysis is really powerful. I think i got it now, I will do it again by myself. Thanks again!
Originally Posted by Shanks The funcation series arise in the invastigation of a interesting problem. How to find the sum? help in need. Here it is: the sum is taken over all positive integers . Alternatively You can start from the [well known...] 'infinite product'... (1) ... and from (1) You derive first... (2) ... and then... (3) ... so that is... (4) Kind regards
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