A Study of Pell's Equation

Author

William H. Lewis, Fort Hays Kansas State College

Department

Math

Degree Name

Master of Arts (MA)

Abstract

The purpose of this paper is to develop a method for finding values of N for which the equation x[squared] - DY[squared] = N will have integral solution in terms of X and Y for a given value of D which is a natural number, not a perfect square. It is shown that values of N are determined by the particular form of D. Results are summarized in the following list where c and k are natural numbers and the various forms of D are paired with the corresponding values of N. [See manuscript for list]

Keywords

Values, Pell's equation, Diophantine equations, Mathematics, Irrational numbers, Fractions

Advisor

Dr. Wilmont Toalson

Date of Award

Spring 1968

Document Type

Thesis - campus only access

DOI

10.58809/NRQQ5126

Recommended Citation

Lewis, William H., "A Study of Pell's Equation" (1968). Master's Theses. 1159.
DOI: 10.58809/NRQQ5126
Available at: https://scholars.fhsu.edu/theses/1159

Rights

© The Author(s)

Comments

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