The interruption phenomenon for generalized continued fractions

Publisher： Cambridge University Press

E-ISSN： 1755-1633|19|2|245-272

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.19, Iss.2, 1978-10, pp. : 245-272

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Abstract

After defining a generalized C-fraction (a kind of Jacobi-Perron algorithm) for an n-tuple of formal power series over (n ≥ 2), the connection between interruptions in the algorithm and linear dependence over [x] of the power series is studied.

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