Pregled bibliografske jedinice broj: 432587
On the uniqueness of extension of twoparametric family of D(4)-triples
On the uniqueness of extension of twoparametric family of D(4)-triples // 17th ÖMG Congress — Annual DMV Meeting
Graz: Graz University of Technology, 2009. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 432587 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the uniqueness of extension of twoparametric family of D(4)-triples
Autori
Filipin, Alan ; He, Bo ; Togbe, Alain
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
17th ÖMG Congress — Annual DMV Meeting
/ - Graz : Graz University of Technology, 2009
Skup
17th ÖMG Congress — Annual DMV Meeting
Mjesto i datum
Graz, Austrija, 20.09.2009. - 25.09.2009
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Diophantine quadruples
Sažetak
A set of m positive integers is called a D(4)-m-tuple, if the product of any two of its distinct elements increased by 4 is a perfect square. There is a conjecture that D(4)-triple {;a, b, c}; can be extended to a D(4)-quadruple {;a, b, c, d}; such that d > max{;a, b, c}; in the unique way. That was proved for D(4)-triple {;1, 5, 12}; and various parametric families of D(4)-triples. In this talk we will prove the conjecture for one twoparametric family of D(4)-triples.
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:
Alan Filipin
(autor)
