D(-1) tuples in imaginary quadratic fields

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D(-1) tuples in imaginary quadratic fields

Gupta, S.

Acta mathematica Hungarica, 08/2021, Volume: 164, Issue: 2

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Let K be an imaginary quadratic number field, and O K its ring of integers. In this article, we prove the non-existence of Diophantine m -tuples in O K with the property D ( - 1 ) , for m > 36 .

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