Reciprocity formulae for general Dedekind-Rademacher sums

Abstract

formulae for general Dedekind-Rademacher sums by The standard reference for ordinary Dedekind sums is Rademacher and Grosswald [10]. Apostol [1], Carlitz [3] and Mikols [7] defined sums involving higher order Bernoulli functions. The inhomogeneous and homogeneous sum become, respectively, S m,n (b, c) = h (mod c)