Family of Formal Power Series with Unbounded Partial Quotients
نویسندگان
چکیده
There is a theory of continued fractions for formal power series in x−1 with coefficients in a field Fq. This theory bears a close analogy with classical continued fractions for real numbers with formal power series playing the role of real numbers and the sum of the terms of non-negative degree in x playing the role of the integral part. In this paper we give a family of formal power series in Fq((X−1)) of algebraical degree qn − 1 with unbounded partial quotients. Mathematics Subject Classification: 11A55, 11R58
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تاریخ انتشار 2010