Difference between revisions of "Bernoulli polynomial and Hurwitz zeta"

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Revision as of 09:57, 23 March 2015

Theorem: The following formula holds: $$B_n(x)=-n \zeta(1-n,x),$$ where $B_n$ denotes the Bernoulli polynomial and $\zeta$ denotes the Hurwitz zeta function.

Proof: