On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)

Filipin, Alan; Jurasić, Ana

doi:10.3336/gm.57.2.03

Glasnik matematički, Vol. 57 No. 2, 2022.

Original scientific paper

https://doi.org/10.3336/gm.57.2.03

On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)

Alan Filipin ; Faculty of Civil Engineering, University of Zagreb, 10 000 Zagreb, Croatia
Ana Jurasić ; Faculty of Mathematics, University of Rijeka, 51 000 Rijeka, Croatia

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page 203-219

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cite

APA 6th Edition

Filipin, A. & Jurasić, A. (2022). On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\). Glasnik matematički, 57 (2), 203-219. https://doi.org/10.3336/gm.57.2.03

MLA 8th Edition

Filipin, Alan and Ana Jurasić. "On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)." Glasnik matematički, vol. 57, no. 2, 2022, pp. 203-219. https://doi.org/10.3336/gm.57.2.03. Accessed 24 Nov. 2024.

Chicago 17th Edition

Filipin, Alan and Ana Jurasić. "On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)." Glasnik matematički 57, no. 2 (2022): 203-219. https://doi.org/10.3336/gm.57.2.03

Harvard

Filipin, A., and Jurasić, A. (2022). 'On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)', Glasnik matematički, 57(2), pp. 203-219. https://doi.org/10.3336/gm.57.2.03

Vancouver

Filipin A, Jurasić A. On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\). Glasnik matematički [Internet]. 2022 [cited 2024 November 24];57(2):203-219. https://doi.org/10.3336/gm.57.2.03

IEEE

A. Filipin and A. Jurasić, "On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)", Glasnik matematički, vol.57, no. 2, pp. 203-219, 2022. [Online]. https://doi.org/10.3336/gm.57.2.03

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Abstract

In this paper we prove that there does not exist a set of four non-zero polynomials from \(\mathbb{Z}[X]\), not all constant, such that the product of any two of its distinct elements decreased by \(3\) is a square of a polynomial from \(\mathbb{Z}[X]\).