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.

Additional Metadata
Journal Pacific Journal of Mathematics
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.