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Scientific paper - Original scientific paper
The extensibility of the Diophantine triple {2, b, c}
Analele Universităţii "Ovidius" Constanţa Seria Matematică, 29(2) (2021); 5-24. urn:nbn:hr:237:455104
Adžaga, Nikola; Filipin, Alan; Jurasić, Ana

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Adžaga, N., Filipin, A. & Jurasić, A. (2021). The extensibility of the Diophantine triple {2, b, c}. Analele Universităţii "Ovidius" Constanţa Seria Matematică, 29(2)., 5-24. Retrieved from https://urn.nsk.hr/urn:nbn:hr:237:455104

Adžaga, Nikola, et al. "The extensibility of the Diophantine triple {2, b, c}." Analele Universităţii "Ovidius" Constanţa Seria Matematică, vol. 29(2), 2021, pp. 5-24. https://urn.nsk.hr/urn:nbn:hr:237:455104

Adžaga, Nikola, Alan Filipin and Ana Jurasić. "The extensibility of the Diophantine triple {2, b, c}." Analele Universităţii "Ovidius" Constanţa Seria Matematică 29(2) (2021): 5-24. https://urn.nsk.hr/urn:nbn:hr:237:455104

Adžaga, N., Filipin, A. and Jurasić, A. (2021) 'The extensibility of the Diophantine triple {2, b, c}', Analele Universităţii "Ovidius" Constanţa Seria Matematică, 29(2), pp. 5-24. Available at: https://urn.nsk.hr/urn:nbn:hr:237:455104 (Accessed 23 October 2024)

Adžaga N, Filipin A, Jurasić A. The extensibility of the Diophantine triple {2, b, c}. Analele Universităţii "Ovidius" Constanţa Seria Matematică [Internet]. 2021 [cited 2024 October 23];29(2):5-24. Available at: https://urn.nsk.hr/urn:nbn:hr:237:455104

N. Adžaga, A. Filipin and A. Jurasić, "The extensibility of the Diophantine triple {2, b, c}", Analele Universităţii "Ovidius" Constanţa Seria Matematică, vol. 29(2), pp. 5-24, 2021. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:455104. [Accessed: 23 October 2024]

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Metadata
Title (english)The extensibility of the Diophantine triple {2, b, c}
AuthorNikola Adžaga
AuthorAlan Filipin
AuthorAna Jurasić
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
The aim of this paper is to consider the extensibility of the Diophantine triple {;2, b, c}; and to prove that such a set cannot be extended to an irregular Diophantine quadruple. We succeed in that for some families of c's (depending on b). As corollary, for example, we prove that for b/2-1 prime, all Diophantine quadruples {;2, b, c, d}; are regular.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleAnalele Universităţii "Ovidius" Constanţa Seria Matematică
Numberingvol. 29(2), pp. 5-24
e-ISSN1224-1784
URN:NBNurn:nbn:hr:237:455104
Publication2021
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-04 19:07:11