Analytic Properties of the Sum B1(h, k)

[摘要] In this paper, with the help of the Hardy and Dedekind sums we will give many properties of the sumB 1 ( h , k ) , which was defined by Cetin et al. Then we will give the connections of this sum with the other well-known finite sums such as the Dedekind sums, the Hardy sums, the Simsek sums Y ( h , k ) and the sumC 1 ( h , k ) . By using the Fibonacci numbers and two-term polynomial relation, we will also give a new property of the sumB 1 ( h , k ) .

[学科分类] 计算数学

[关键词] Hardy sums;Dedekind sums;two-term polynomial relation;greatest integer function