Difference between revisions of "Derivative of zeta at -1"

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Revision as of 00:43, 21 March 2015

Proposition: The following formula holds: $$\zeta'(-1)=\dfrac{1}{12}-\log(A),$$ where $\zeta$ denotes the Riemann zeta function, $A$ denotes the Glaisher–Kinkelin constant, and $\log$ denotes the logarithm.

Proof: