UNITS AND LINEAR RECURRENT SEQUENCES
https://doi.org/10.22405/2226-8383-2014-15-3-4-11
Abstract
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.
About the Authors
E. T. Avanesov
Ивановский государственный энергетический университет имени В. И. Ленина
Russian Federation
Russian Federation
V. A. Gusev
Ивановский государственный энергетический университет имени В. И. Ленина
Russian Federation
Russian Federation
References
1. Kiss P. On some properties of linear recurrents // Publ. math. — 1983. — T/30. — C. 273–281.
2. Верещагин Н.К. О нулях линейных рекуррентных последовательностей // ДАН СССР. 1984. № 5. С. 1036–1039.
Review
For citations:
Avanesov E.T., Gusev V.A. UNITS AND LINEAR RECURRENT SEQUENCES. Chebyshevskii Sbornik. 2014;15(3):4-11. (In Russ.) https://doi.org/10.22405/2226-8383-2014-15-3-4-11
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