AN UPPER BOUND FOR THE NUMBER OF DIOPHANTINE QUINTUPLES-Reference-Cited by-同舟云学术

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AN UPPER BOUND FOR THE NUMBER OF DIOPHANTINE QUINTUPLES

Published:2016-08-16 Issue:3 Volume:94 Page:384-394
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

BLIZNAC MARIJA,FILIPIN ALAN

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. [13] A. Filipin , ‘The extension of some $D(4)$ -pairs’, submitted.

2. A note on the number of D (4)-quintuples;Baćić;Rad Hrvat. Akad. Znan. Umjet. Mat. Znan.,2014

3. Bounds on the number of Diophantine quintuples

4. The extensibility of D (4)-pairs;Baćić;Math. Commun.,2013

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Extension of a Diophantine triple with the property $$D(4)$$;Acta Mathematica Hungarica;2021-02

2. Nonexistence of D(4)-quintuples;Journal of Number Theory;2019-01

3. On the average number of divisors of reducible quadratic polynomials;Journal of Number Theory;2017-11

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