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Pregled bibliografske jedinice broj: 645229

On the extensibility of D(4)-pair {; ; k−2, k+2}; ;


Baćić, Ljubica; Filipin, Alan
On the extensibility of D(4)-pair {; ; k−2, k+2}; ; // Journal of combinatorics and number theory, 5 (2013), 3; 181-197 (međunarodna recenzija, članak, znanstveni)


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Naslov
On the extensibility of D(4)-pair {; ; k−2, k+2}; ;

Autori
Baćić, Ljubica ; Filipin, Alan

Izvornik
Journal of combinatorics and number theory (1942-5600) 5 (2013), 3; 181-197

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Diophantine tuples ; system of Diophantine equations

Sažetak
In this paper we prove that if k ≥ 3, c and d are positive integers with c < d and the set {; ; k−2, k+2, c, d}; ; has the property that the product of any of its distinct elements increased by 4 is a perfect square, then d is uniquely determined.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)

Ustanove:
Građevinski fakultet, Zagreb

Profili:

Avatar Url Alan Filipin (autor)


Citiraj ovu publikaciju:

Baćić, Ljubica; Filipin, Alan
On the extensibility of D(4)-pair {; ; k−2, k+2}; ; // Journal of combinatorics and number theory, 5 (2013), 3; 181-197 (međunarodna recenzija, članak, znanstveni)
Baćić, L. & Filipin, A. (2013) On the extensibility of D(4)-pair {; ; k−2, k+2}; ;. Journal of combinatorics and number theory, 5 (3), 181-197.
@article{article, author = {Ba\'{c}i\'{c}, Ljubica and Filipin, Alan}, year = {2013}, pages = {181-197}, keywords = {Diophantine tuples, system of Diophantine equations}, journal = {Journal of combinatorics and number theory}, volume = {5}, number = {3}, issn = {1942-5600}, title = {On the extensibility of D(4)-pair {; ; k−2, k+2}; ;}, keyword = {Diophantine tuples, system of Diophantine equations} }
@article{article, author = {Ba\'{c}i\'{c}, Ljubica and Filipin, Alan}, year = {2013}, pages = {181-197}, keywords = {Diophantine tuples, system of Diophantine equations}, journal = {Journal of combinatorics and number theory}, volume = {5}, number = {3}, issn = {1942-5600}, title = {On the extensibility of D(4)-pair {; ; k−2, k+2}; ;}, keyword = {Diophantine tuples, system of Diophantine equations} }

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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