Derivatives of Dedekind sums and their reciprocity law.
The author evaluates Barnes' double zeta function at the negative integers in two ways, one in terms of Bernoulli numbers, and another as a finite sum of Hurwitz zeta functions. Equating these expressions leads to a new and interesting proof of the reviewer's reciprocity law for generalized Dedekind sums. More general results are indicated as being obtainable from Barnes' multiple zeta functions.
scientific article; zbMATH DE number 1902880