On Generalized Hardy Sums $s_5(h, k)$

• Date: 2004
• Main Authors: Simsek, Y., Симсек, Ю.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3856
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The aim of this paper is to study generalized Hardy sums $s_5(h, k)$. By using mediants and the adjacent difference of Farey fractions, we establish a relationship between $s_5(h, k)$ and Farey fractions. Using generalized Dedekind sums and a generalized periodic Bernoulli function, we define genera...