A Note on Hardy type Sums and Dedekind Sums

Cetin E.

FILOMAT, cilt.30, sa.4, ss.977-983, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604977c
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.977-983
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In [9], Cetin et al. defined a new special finite sum which is denoted by C-1(h, k). In this paper, with the help of two-term polynomial relation, we will give the explicit values of the sum C-1(h, k) : We will see that for the odd values of h and k, this sum only depends on one variable. After that we will give many properties of this sum and connections with other well-known finite sums such as the Dedekind sums, the Hardy sums and the Simsek sums Y(h, k) : By using the Fibonacci numbers and two-term polynomial relation, we will also give some relations for these sums.