On the size of Diophantine m-tuples in imaginary quadratic number rings

A Diophantine m-tuple is a set of m distinct integers such that the product of any two distinct elements plus one is a perfect square. It was recently proven that there is no Diophantine quintuple in positive integers. We study the same problem in the rings of integers of imaginary quadratic fields....

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Bibliographic Details
Main Author: Nikola Adžaga
Format: Article
Language:English
Published: World Scientific Publishing 2021-04-01
Series:Bulletin of Mathematical Sciences
Subjects:
Online Access:http://www.worldscientific.com/doi/epdf/10.1142/S1664360719500206