Integrals involving the functions log (2 sinh(θ/2)) and log(2sin(θ/2)) are studied, particularly their relationship to the values of the Riemann zeta function at integral arguments. For example general formulae are proved which contain the known results as special cases.

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Journal Pacific Journal of Mathematics
Citation
Nan-Yue, Z. (Zhang), & Williams, K.S. (1995). Values of the riemann zeta function and integrals involving log(2sinhθ/2) and log (2 sin θ/2). Pacific Journal of Mathematics, 168(2), 271–289.