The Bernoulli constants
\( \beta_n \) are defined for \( n \ge 0 \) as
\begin{equation} {
\beta_n \, = \, 2\pi \! \int\limits_{- \infty }^{+\infty }{\frac {
\log\! \left( \frac{1}{2} + iz \right) ^n }
{\left( {{\exp}^{- \pi \,z}}+{{\exp}^{\pi \,z }} \right) ^{2}}}\,{dz} . }
\end{equation}
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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