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2011•Journal of Wenzhou UniversityRequires access

Study on Diophantine Equation x~3±1=3Dy~2

Liang Yong

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Abstract

Let D be a prime number.Positive integer solutions of the Diophantine equation x3±1=3Dy2 were studied.And a sufficient condition for nonexistence of positive integer solution to the Diophantine equation was obtained by using elementary number theory.

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What this paper is about

Let D be a prime number.Positive integer solutions of the Diophantine equation x3±1=3Dy2 were studied.And a sufficient condition for nonexistence of positive integer solution to the Diophantine equation was obtained by using elementary number theory.

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Available abstract

Let D be a prime number.Positive integer solutions of the Diophantine equation x3±1=3Dy2 were studied.And a sufficient condition for nonexistence of positive integer solution to the Diophantine equation was obtained by using elementary number theory.

Key concepts: Diophantine equation, Integer (computer science), Diophantine set, Mathematics, Legendre's equation, Prime (order theory), Thue equation, Number theory

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