Back to matchesWe found a matchYour institution may have rights to this item. Sign in to continue.TitleON A FAMILY OF CUBIC THUE EQUATIONS INVOLVING FIBONACCI AND LUCAS NUMBERS.AuthorsHilgart, Tobias; Vukusic, Ingrid; Ziegler, VolkerAbstractLet Fn denote the n-th Fibonacci number and Ln the n-th Lucas number. We completely solve the family of cubic Thue equations (X - FnY)(X - LnY)X - Y³ = ±1 and show that there are no non-trivial solutions for n ≠1,3.SubjectsCUBIC equations; LUCAS numbersPublicationIntegers: Electronic Journal of Combinatorial Number Theory, 2022, Vol 22, p1ISSN1553-1732Publication typeArticle