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Algorithm 139, solutions of Diophantine equation

โœ Scribed by Peck.

Book ID
127399460
Publisher
CACM
Year
1962
Tongue
English
Weight
234 KB
Category
Library

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Beginning with a brief introduction to algorithms and diophantine equations, this volume provides a coherent modern account of the methods used to find all the solutions to certain diophantine equations, particularly those developed for use on a computer. The study is divided into three parts, empha

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In this study, we investigate positive integer solutions of the Diophantine equations x 2 -kxyโˆ“y 2 โˆ“x = 0 and x 2 -kxy-y 2 โˆ“y = 0. It is shown that when k > 3, x 2 -kxy+y 2 +x = 0 has no positive integer solutions but the equation x 2 -kxy + y 2 -x = 0 has positive integer solutions. Moreover, it is