Solution of a problem of Skolem

Andrew Bremner

doi:10.1016/0022-314X(77)90009-9

Solution of a problem of Skolem

Andrew Bremner

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

Abstract

T. Skolem shows that there are at most six integer solutions to the Diophantine equation x⁵ + 2y⁵ + 4z⁵ - 10xy³z + 10x²yz² = 1. The author shows here that there are precisely three integer solutions.

Original language	English (US)
Pages (from-to)	499-501
Number of pages	3
Journal	Journal of Number Theory
Volume	9
Issue number	4
DOIs	https://doi.org/10.1016/0022-314X(77)90009-9
State	Published - Nov 1977
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-314X(77)90009-9

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title = "Solution of a problem of Skolem",

abstract = "T. Skolem shows that there are at most six integer solutions to the Diophantine equation x5 + 2y5 + 4z5 - 10xy3z + 10x2yz2 = 1. The author shows here that there are precisely three integer solutions.",

author = "Andrew Bremner",

year = "1977",

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Solution of a problem of Skolem

Abstract

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