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| sci.math.symbolic | Symbolic algebra discussion | 10,432 messages |
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| Message 10,173 of 10,432 |
| Peter Luschny to All |
| An integral for the Bernoulli function. |
| 22 Aug 21 04:39:07 |
From: peter.luschny@gmail.com
Consider the Bernoulli function B(s) = -s*Zeta(1 - s).
Assume s > 0 and real. Then we have the representation
B(s) = v(s)*w(s), where
v(s) = Pi*cos(Pi*s/2)/(2^(1 - s) - 1) and
w(s) = Integral_{z=0..infinity} z^s*sech(Pi*z)^2.
Which method do you recommend for calculating the integral?
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