On Some Identities Involving Certain Hardy Sums and a Kloosterman Sum

DAĞLI M. C.

UKRAINIAN MATHEMATICAL JOURNAL, vol.72, no.11, pp.1724-1732, 2021 (SCI-Expanded) identifier identifier

  • 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.