Abstract
We give an upper bound on the number of extensions of a triple to a quadruple for the Diophantine m-tuples with the property D(4). We also confirm the conjecture of the uniqueness of such an extension in some special cases.
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The author was supported by the Croatian Science Foundation under the project no. IP-2018-01-1313.
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Bliznac Trebješanin, M. Extension of a Diophantine triple with the property \(D(4)\). Acta Math. Hungar. 163, 213–246 (2021). https://doi.org/10.1007/s10474-020-01128-0
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DOI: https://doi.org/10.1007/s10474-020-01128-0