DIOPHANTINE TRIPLES AND REDUCED QUADRUPLES WITH THE LUCAS SEQUENCE OF RECURRENCE

Küçük Resim Yok

Tarih

2014

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

Künye