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, cilt.63, sa.4, ss.325-333, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 4
  • Basım Tarihi: 2020
  • Dergi Adı: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.325-333
  • Anahtar Kelimeler: Dedekind sum, Hardy sum, computational problem, Ramanujan sum, Gauss sum, hybrid mean value
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.