On Some Identities Involving Certain Hardy Sums and a Kloosterman Sum
UKRAINIAN MATHEMATICAL JOURNAL, vol.72, no.11, pp.1724-1732, 2021 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 72 Issue: 11
- Publication Date: 2021
- Doi Number: 10.1007/s11253-021-01883-5
- Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Page Numbers: pp.1724-1732
- Akdeniz University Affiliated: Yes
Abstract
We propose a new reciprocity theorem for the Hardy sum s(5)(h, p). In addition, a hybrid mean-value problem involving the Hardy sum s(4)(h, p) and a Kloosterman sum is studied and two exact computational formulas are obtained.