Analytic properties of the sum B1(h, k)

ÇETİN E.

Mathematical and Computational Applications, cilt.21, sa.3, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3390/mca21030031
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: B1(h∗k) sums, C1(h∗k) sums, Dedekind sums, Greatest integer function, Hardy sums, Two-Term polynomial relation, Y(h∗k) sums
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, with the help of the Hardy and Dedekind sums we will give many properties of the sum B1(h, k), which was defined by Cetin et al. Then we will give the connections of this sum with the other well-known finite sums such as the Dedekind sums, the Hardy sums, the Simsek sumsY(h, k) and the sum C1(h, k). By using the Fibonacci numbers and two-Term polynomial relation, we will also give a new property of the sum B1(h, k).