Pregled bibliografske jedinice broj: 965229
An Infinite Two-Parameter Family of Diophantine Triples
An Infinite Two-Parameter Family of Diophantine Triples // Bulletin of the Malaysian Mathematical Sciences Society, 43 (2020), 1; 481-498 doi:10.1007/s40840-018-0695-9 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 965229 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
An Infinite Two-Parameter Family of Diophantine Triples
Autori
Cipu, Mihai ; Filipin, Alan ; Fujita, Yasutsugu
Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 43
(2020), 1;
481-498
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine m-tuples ; Pellian equations ; Linear forms in logarithms
Sažetak
In this paper, we study sets of positive integers with the property that the product of any two elements in the set increased by the unity is a square. It is shown that if the two smallest elements have the form KA^2, 4KA^4±4A for some positive integers A and K, and the third one is chosen canonically, then any such set consisting of three elements can be contained in a unique such set with four elements.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Građevinski fakultet, Zagreb
Profili:
Alan Filipin
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
