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On the Distribution of Integer Solutions of f(x, y) = z2 for a Definite Binary Quadratic Form f

Published online by Cambridge University Press:  20 November 2018

Nobuo Nobusawa
Nobuo Nobusawa*
Affiliation:
University of Calgary and University of Rhode Island
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Let f be a positive definite binary quadratic form with rational coefficients. We shall call a point (x, y) in E2 with integers x and y a Pythagorean point of f when f(x, y) = z2 is satisfied with some integer z, and shall prove the following theorem.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 5 , December 1967 , pp. 755 - 756
Copyright
Copyright © Canadian Mathematical Society 1967