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AN UPPER BOUND FOR THE NUMBER OF DIOPHANTINE QUINTUPLES
Published online by Cambridge University Press: 16 August 2016
Abstract
We improve the known upper bound for the number of Diophantine $D(4)$-quintuples by using the most recent methods that were developed in the
$D(1)$ case. More precisely, we prove that there are at most
$6.8587\times 10^{29}$
$D(4)$-quintuples.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 384 - 394
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
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