ONLY FINITELY MANY TRIBONACCI DIOPHANTINE TRIPLES EXIST
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Diophantine triples taking values in recurrence sequences have recently been studied quite a lot. In particular the question was raised whether or not there are finitely many Diophantine triples in the Tribonacci sequence. We answer this question here in the affirmative. We prove that there are only finitely many triples of integers 1 <= u < v < w such that uv + 1, uw 1, vw + 1 are Tribonacci numbers. The proof depends on the Subspace theorem.
Açıklama
Anahtar Kelimeler
Diophantine triples, Tribonacci numbers, Diophantine equations, application of the Subspace theorem
Kaynak
Mathematica Slovaca
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
67
Sayı
4
