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

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.

References in corpus (1)

• A class of series acceleration formulae for Catalan's constant