Some special finite sums related to the three-term polynomial relations and their applications
Some special finite sums related to the three-term polynomial relations and their applications
We define some finite sums which are associated with the Dedekind type sums and Hardy-Berndt type sums. The aim of this paper is to prove a reciprocity law for one of these sums. Therefore, we define a new function which is related to partial derivatives of the three-term polynomial relations. …