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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Bounds for integral solutions of diagonal cubic equations


Author: Ka Hin Leung
Journal: Trans. Amer. Math. Soc. 278 (1983), 183-195
MSC: Primary 11D25; Secondary 11P55
MathSciNet review: 697069
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Abstract: It was proved by Davenport [3] that for the nonzero integral $ {\lambda_i}$ the equation $ {\lambda_1}x_1^3 + \cdots + {\lambda_8}x_8^3 = 0$ always has a nontrivial integral solution. In this paper, we investigate the bounds of nontrivial integral solutions in terms of $ {\lambda_1}, \ldots ,{\lambda_8}$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0697069-0
PII: S 0002-9947(1983)0697069-0
Article copyright: © Copyright 1983 American Mathematical Society