Abstract
We prove that if \({\{k, 4k + 4, 9k + 6, d\}}\), where \({k \in \mathbb{Z}[i]}\), \({k \neq 0, -1}\), is a Diophantine quadruple in the ring of Gaussian integers, then
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The second author was supported by Croatian Science Foundation under the project no. 6422.
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Bayad, A., Filipin, A. & Togbé, A. Extension of a parametric family of Diophantine triples in Gaussian integers. Acta Math. Hungar. 148, 312–327 (2016). https://doi.org/10.1007/s10474-016-0581-6
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DOI: https://doi.org/10.1007/s10474-016-0581-6