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A Periodic Jacobi-Perron Algorithm

Published online by Cambridge University Press:  20 November 2018

Leon Bernstein
Leon Bernstein*
Affiliation:
Tel Aviv, Israel
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In the first part of this paper I shall demonstrate that one irrational root of the algebraic equation

creates an algebraic number field, out of which n — 1 irrationals can be chosen so that they yield a periodic Jacobi-Perron algorithm. The coefficients in (1) are subject to certain restrictions which will be elaborated below.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 933 - 945
Copyright
Copyright © Canadian Mathematical Society 1965

References

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