On the hybrid mean value of generalized Dedekind sums, generalized Hardy sums and Ramanujan sum

DAĞLI M. C.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, vol.63, no.4, pp.325-333, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 4
  • Publication Date: 2020
  • Journal Name: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.325-333
  • Keywords: Dedekind sum, Hardy sum, computational problem, Ramanujan sum, Gauss sum, hybrid mean value
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, by using the properties of Dirichlet L we discuss a hybrid mean value problem involving generalized Dedekind sums, certain generalized Hardy sums and Ramanujan sum that had previously not been considered. We give several exact computational formulas, which generalize some conclusions of this context.