Series representation of $m=1^k + 2^k + ldots n^k$.

Tuesday, 16 June 2015

Series representation of $m=1^k + 2^k + ldots n^k$ .

Is there any simple form for following question?

$m=1^k+2^k+\cdots+n^k$

Answer

See Faulhaber's formula, for instance.

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