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Who knows about the summation of this series: $\sum\limits_{i=1}^{n}i^m $ where $m$ is constant and $m\in \mathbb{N}$?

thanks

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    How about [this](http://reference.wolfram.com/mathematica/ref/HarmonicNumber.html)?2011-09-19

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Look up Faulhaber's formula. See for example http://en.wikipedia.org/wiki/Faulhaber%27s_formula.