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Meetings of the St. Petersburg Mathematical Society
April 20, 2004, St. Petersburg
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A new generalization of the continued fraction
A. D. Bruno Moscow
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Abstract:
A new two-dimensional concept of the continued fraction is proposed that is further generalized to a three-dimensional case. The new algorithm is simple and gives the best rational approximations to a real number. At the same time, it is periodic for cubic irrationalities. Detailed examples were provided.
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