DIOPHANTINE TRIPLES AND REDUCED QUADRUPLES WITH THE LUCAS SEQUENCE OF RECURRENCE
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
CROATIAN MATHEMATICAL SOC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we show that there is no positive integer triple {a, b, c} such that all of ab+1, ac+1 and bc+1 are in the sequence {u(n)}n= 0 satisfies the recurrence un=Aun-1-un-2 with the initial values u0=0, u1=1. Further, we investigate the analogous question for the quadruples {a,b,c,d} with abc+1=ux, bcd+1=uy, cda+1=uz and dab+1=ut, and deduce the non-existence of such quadruples.
Açıklama
Anahtar Kelimeler
Diophantine triples, Diophantine quadruples, binary recurrence
Kaynak
GLASNIK MATEMATICKI
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
49
Sayı
2
