

Title: Summing Infinite Series Using Residue Post by MonicaMath on Mar 18^{th}, 2009, 7:43pm if we want to sum an infinite series like sum{k=1 to inf} 1/k^2 using residues we can use the residues of H(z)=cot(z)/z^2 , at the poles k*pi , k=1,2,3,..., and Residue of H at z=0 is 1/3, so the sum will be pi^2/6. How can I sum the doubling series : sum{k=  inf to inf} (1/k^3 +2) using residue method, I tried to follow the same technique as above but it is not working !? could anyone help me... Thanks 

Title: Re: Summing Infinite Series Using Residue Post by Aryabhatta on Mar 18^{th}, 2009, 10:13pm Can you show your working? 

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