Geodesic
Units and linear recurrent sequences
Čebyševskij sbornik, Tome 15 (2014) no. 3, pp. 4-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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The author suggests the famous description of cubic field units of negative discriminant with recurrent sequences which are analogous to Fibonacci numbers. It runs to derived algebraic field and it is interpreted as applied to Diophantine equations. Bibliography: 2 titles.
Keywords: field, sequence, unit, recursion
Mots-clés : Fibonacci, equation, Diophantine. 
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E. T. Avanesov; V. A. Gusev. Units and linear recurrent sequences. Čebyševskij sbornik, Tome 15 (2014) no. 3, pp. 4-11. http://geodesic.mathdoc.fr/item/CHEB_2014_15_3_a0/

[1] Kiss P., “On some properties of linear recurrents”, Publ. math., 30 (1983), 273–281 | MR | Zbl

[2] Vereschagin N. K., “O nulyakh lineinykh rekurrentnykh posledovatelnostei”, DAN SSSR, 1984, no. 5, 1036–1039