Geodesic
Units and linear recurrent sequences
Čebyševskij sbornik, Tome 15 (2014) no. 3, pp. 4-11

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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, 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/