Indefinite quadratic forms and generalized pell sequences

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Thesis Type: Postgraduate

Institution Of The Thesis: Uludağ Üniversitesi, Turkey

Approval Date: 2016

Thesis Language: Turkish

Student: MERVE TAYAT

Supervisor: AHMET TEKCAN

Abstract:

In this work, indefinite quadratic forms and integer solutions of Pell equations and the generalized Pell sequences are considered. In the first section, some preliminary notations, definitions and theorems which we need them in later sections are given. In the second section, indefinite quadratic forms, integer solutions of Pell equations and t-balance numbers are considered. In the third section, we set two new integer sequences and derived some results on them. We also consider their relationship with balance, Pell and Pell-Lucas sequences. In the last section, balance, Pell and Pell-Lucas functions are considered.