A Diophantine System

Andrew Bremner

doi:10.1155/S0161171286000522

A Diophantine System

Andrew Bremner

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is shown how to find all integers a,b such that a+b, a²+b² and a³+b³ are simultaneously perfect squares.

Original language	English (US)
Pages (from-to)	413-415
Number of pages	3
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	9
Issue number	2
DOIs	https://doi.org/10.1155/S0161171286000522
State	Published - 1986

Keywords

Diophantine equation
elliptic curve

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1155/S0161171286000522

Cite this

@article{3934741822274425b7d4cb9803a55b1e,

title = "A Diophantine System",

abstract = "It is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares.",

keywords = "Diophantine equation, elliptic curve",

author = "Andrew Bremner",

year = "1986",

doi = "10.1155/S0161171286000522",

language = "English (US)",

volume = "9",

pages = "413--415",

journal = "International Journal of Mathematics and Mathematical Sciences",

issn = "0161-1712",

publisher = "John Wiley and Sons Ltd",

number = "2",

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T1 - A Diophantine System

AU - Bremner, Andrew

PY - 1986

Y1 - 1986

N2 - It is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares.

AB - It is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares.

KW - Diophantine equation

KW - elliptic curve

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UR - https://www.scopus.com/pages/publications/84954206588#tab=citedBy

U2 - 10.1155/S0161171286000522

DO - 10.1155/S0161171286000522

M3 - Article

AN - SCOPUS:84954206588

SN - 0161-1712

VL - 9

SP - 413

EP - 415

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 2

ER -

A Diophantine System

Abstract

Keywords

ASJC Scopus subject areas

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