Volume no :20, Issue no: 1, March

SEQUENCES OF RIGHT AND LEFT NEIGHBOURS OF SIX TYPE INDEFINITE BINARY QUADRATIC FORMS AND THEIR PROPER AUTOMORPHISMS

Author's: AHMET TEKCAN, ARZU ÖZKOÇ and MELTEM E. ÖZBEK
Pages: [1] - [19]
Received Date: December 13, 2012
Submitted by: Miodrag M. Spalevic, Editor, J. Pure Appl. Math. Adv. Appl.

Abstract

In this work, we consider the sequences of right and left neighbours of indefinite binary quadratic forms of discriminant In the first section, we give some definitions and notations from binary quadratic forms and their neighbours. In the second section, we try to determine the sequences of right and left neighbours of some specific indefinite quadratic forms and in the last section, we formulate the set of proper automorphisms of them.

Keywords

quadratic forms, cycle, proper cycle, right and left neighbours.