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Evaluation of Log-tangent Integrals by series involving $ζ(2n+1)$ (1611.01274v2)
Published 4 Nov 2016 in math.NT
Abstract: In this note, we show that the values of integrals of the log-tangent function with respect to any square-integrable function on $\left[0 , \frac{\pi}{2} \right]$ may be determined by a finite or infinite sum involving the Riemann Zeta-function at odd positive integers.
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