Simultaneous Pell equations

This paper will discuss the solutions on the simultaneous Pell equations x 2 − my 2 = 1 and y 2 − 11z 2 = 1 where m is square free. By looking at the pattern of the solutions, some theorems will be developed. The solutions to these simultaneous equations are (x, y, z, m) = (50i − 1, 10, 3, m i ) and...

Full description

Saved in:
Bibliographic Details
Main Authors: Sihabudin, N. A., Sapar, S. H., Johari, M. A. M.
Format: Conference Proceeding
Language:English
Subjects:
Mathematical analysis
Simultaneous equations
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper will discuss the solutions on the simultaneous Pell equations x 2 − my 2 = 1 and y 2 − 11z 2 = 1 where m is square free. By looking at the pattern of the solutions, some theorems will be developed. The solutions to these simultaneous equations are (x, y, z, m) = (50i − 1, 10, 3, m i ) and (50i + 1, 10, 3, m i ) for some expressions of m i where i is natural number.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4954602