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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2014 Volume 15, Issue 3, Pages 4–11 (Mi cheb349)

Units and linear recurrent sequences

E. T. Avanesov, V. A. Gusev

Ivanovo State Power University

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.
Bibliography: 2 titles.

Keywords: field, sequence, unit, recursion, Fibonacci, equation, Diophantine.

UDC: 511.6

Received: 04.02.2014



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