Barnes' multiple zeta function and Apostol's generalized Dedekind sum (Q1890457)

In this continuation of an earlier work [\textit{K. Katayama}, Tokyo J. Math. 27, No. 1, 41--56 (2004; Zbl 1075.11025)] the author uses Barnes triple zeta function and residue calculus to derive a new ``three term relation'' for the reviewer's generalized Dedekind sums. This is of special interest because it differs from Rademacher's famous three term relation for the special case of classical Dedekind sums.