Fun with "exotic" constants

Calculus Level 5

If \(\LARGE{ e }^{ \frac { 1 }{ 12 } -\zeta ^{ \prime }(-1) }=B\times A\)

Where \(A\) is the Glaisher-Kinkelin constant

and \(B\) is a real number

find \(B\)

Notation:\(\zeta ^{ \prime }\) denotes the derivative of the zeta function

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