Balancing numbers and algebraic properties


Thesis Type: Postgraduate

Institution Of The Thesis: Uludağ Üniversitesi, Turkey

Approval Date: 2014

Thesis Language: Turkish

Student: MELTEM ESRA ERAŞIK

Supervisor: AHMET TEKCAN

Abstract:

In this work, some algebraic properties of balancing numbers and their relationships with Pell, Pell-Lucas and oblong numbers are considered. In the first section, the preliminary notations, definitions and theorems which are to be used in later sections are given. In the second section, oblong numbers are considered. Some properties of oblong num-bers are derived. Also the connection with Pell form and integer solutions of some spe-cific Pell equations is discussed. In the third section, balancing numbers are considered widely. Some properties of bal-ancing numbers are given. Further, the connection with oblong, Pell, Pell-Lucas and balancing numbers are considered.