Some properties of the sum C-1(h, k)

Abstract

In [10], we have investigated properties of the sum C-1 (h, k). In this paper, we will give some other arithmetic properties of the sum C-1 (h, k). Moreover, in the light of the sum B-1 (h, k), which has also defined in [10], we will give specific values of the sum C1 (h, k) when h + k is an odd number. Finally, we will give a relation between the sum CI(h, k) and the Hardy-Berndt sum s 5(h, k) for a special case.