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Results tagged with limits-and-convergence
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user 80158
Convergence of series, sequences and functions and different modes of convergence.
3
votes
2
answers
444
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Regularisation of $\sum_{n=0}^\infty \frac{1}{(a+n^2)^p}$
As from the title, I am currently dealing with this sum
$\sum_{n=0}^\infty \frac{1}{(a+n^2)^p}$
in particular with $p=1/2,3/2,...$ (but once solved for $p=1/2$ one can derive wrt $a$ and find the ot …
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