Is there a name for this series? $$p_{n,j}=\sum_{k=1}^n (k^2\pi)^j$$ Mathematica 10.0 does not produce closed-form expression.
2025-01-12 19:22:06.1736709726
is there a name for this series $p_{n,j}=\sum_{k=1}^n (k^2\pi)^j$?
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As per the comments: This is the same series as $\pi^j\sum\limits_{k=1}^n k^{2j}$.