Unbounded transcendent formal power series in Fq((X-1)) Unbounded transcendent formal power series in Fq((X-1))

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I. Hassairi

Abstract

Let Fq be a finite field and Fq((X-1)) the field of formal power series with coefficients in Fq. In this work, we construct a family of transcendental continued fractions in Fq((X-1)) with unbounded partial quotients from algebraic elements.

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Research Article

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