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I'm noticing wolfram alpha has the amazing ability to analytically solve
[tex] \sum_{n=1}^{\infty} \frac{1}{n^2 + a^2} [/tex]
Anyone know how to do this, and if it's also possible to deal with higher order guys (like it also can do 1/(n4+a2), but it's a way more complicated expression to the point where I'm staring at it wondering if it's actually a real number)
[tex] \sum_{n=1}^{\infty} \frac{1}{n^2 + a^2} [/tex]
Anyone know how to do this, and if it's also possible to deal with higher order guys (like it also can do 1/(n4+a2), but it's a way more complicated expression to the point where I'm staring at it wondering if it's actually a real number)