Generalization of summation of k^a

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Hello everybody,

Are there any generalization of this summation [tex]\sum_{k=1}^{n}k^{a}[/tex] for a>3? Thanks for your responses.
 

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  • #2
fzero
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  • #3
Gib Z
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Faulhabers Formula: http://en.wikipedia.org/wiki/Faulhaber's_formula

We can derive expressions for many series with the Euler-Maclaruin formula. Applied to this, it leads to Faulhaber's formula. It can be applied to non-integer a as well.
 
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Thank you for your useful helps. :)
 

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