On hardys sums

The main purpose of this study is to investigate extensively Rademacher's two quastions on s (h, k) 1 , s (h, k) 2 , s (h, k) 3 , s (h, k) 5 Hardy sums. First, Dedekind sums and Hardy sums are defined and fundamental properties of these sums are given. Afterwards, some relations and expressions on S(h, k), s (h, k) 4 are given. At the end, we obtain some equalities and inequalities on s (h, k) 1 , s (h, k) 2 , s (h, k) 3 , s (h, k) 5 Hardy sums. The answers of Rademacher's queastions are obtained on this s (h,k) 1 , s (h, k) 2 , s (h, k) 3 , s (h, k) 5 sums. KEY WORDS : Dedekind Sums, Hardy Sums, Farey Fractions