Hey guys. I wrote the problem in word, it's much easier for me Thanks in advance.
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Originally Posted by asi123 The problem is the other one, , how can I get from that? You'll be famous if you succeed. is Apéry's constant, for which there is no known closed form. Even less is known about .
Originally Posted by Opalg You'll be famous if you succeed. is Apéry's constant, for which there is no known closed form. Even less is known about . Well, the question is find the sum of the series , are you sure that can not be done?
Originally Posted by asi123 Well, the question is find the sum of the series , are you sure that can not be done? He is sure. And so am I. Some research for you to do: Riemann zeta function. . Very little is known about apart from what has already been mentioned for the case n = 1.
Originally Posted by mr fantastic He is sure. And so am I. Some research for you to do: Riemann zeta function. . Very little is known about apart from what has already been mentioned for the case n = 1. Just in case the original poster want to see derivation, it is here.
Originally Posted by asi123 Hey guys. I wrote the problem in word, it's much easier for me Thanks in advance. I think you might need to combine the Fourier series using the convolution theorem for Fourier series, though if it will give anything usefull I don't know. .
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