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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Format: | Article |
Language: | English |
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World Scientific Publishing
2021-04-01
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Series: | Bulletin of Mathematical Sciences |
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Online Access: | http://www.worldscientific.com/doi/epdf/10.1142/S1664360719500206 |