On some identities involving certain Hardy sums and Kloosterman sum

• Date: 2020
• Main Author: Dağlı, M. C.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/731
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 511 We give a new reciprocity theorem for the Hardy sum $s_{5}(h,p).$ Also, a hybrid mean value problem involving the Hardy sum $s_{4}(h,p)$ and Kloosterman sum is studied and two exact computational formulae are obtained.