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arXiv · 1611.01274

Evaluation of Log-tangent Integrals by series involving $ζ(2n+1)$

Lahoucine Elaissaoui·Zine El Abidine Guennoun
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Abstract

In this note, we show that the values of integrals of the log-tangent function with respect to any square-integrable function on $\left[0 , \fracπ{2} \right]$ may be determined by a finite or infinite sum involving the Riemann Zeta-function at odd positive integers.

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Lahoucine Elaissaoui, Zine El Abidine Guennoun. 2017-04-19. Evaluation of Log-tangent Integrals by series involving $ζ(2n+1)$. https://doi.org/10.1080/10652469.2017.1312366

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