Analytic Properties of the Sum B1(h, k)

Mathematical and Computational Applications

Cetin, Elif¹ 

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

DOI  :  10.3390/mca21030031

学科分类：计算数学

来源: mdpi

【 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 ) .

【 授权许可】

CC BY