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

• Дата: 2004
• Автори: Simsek, Y., Симсек, Ю.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3856
• Назва журналу: 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...