Post Reopened by David Speyer, Joseph O'Rourke, Ralph, Joe Silverman, François Brunault

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Sum of recipricals reciprocals of squares of integers congruent to 1 mod 3 ?

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What is the value of $\sum_{i=0}^\infty $\sum_{i=0}^\infty \frac{1}{(3i+1)^2}$ frac{1}{(3i+1)^2} ?$$

Methods for other $a\pmod p$ would be helpful!, i.e., the value of $$\sum_{i=0}^\infty \frac{1}{(pi+a)^2} .$$

Thanks in advance Herman :+)

    Post Closed as "not a real question" by Bill Johnson, Andres Caicedo, Franz Lemmermeyer, Yemon Choi, Will Jagy
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