Dear members,
I have read about multiples techniques for regularizing a summation, I would like to know the technique for the case
How to regularize the divergent summation Σ ((1-l*π)^2n)/l^2 where the index is l=1, 2, 3...
For any n (natural n=1, 2, 3,... ) where the summation diverge and needs the regularized summation.
Best regards,
Carlos
The series does not coverage when n>=2. Therefore the sum will tend to infinite when n>=2.
Xiaoguang Zhang Thanks, I know that it diverges, so I am asking if one could use the Cesaro, Abel or Ramanujan methods for regularization of series in order to process it. However, I have thought in other steps that probably did not involve this series directly. The idea of regularization is for taking this expression Σ ((1-l*π)^2n)/l^2 into a formal scenario of regularization to operate it with other summations and expressions I am not describing here. Have a great day!
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