On lacunary formal power series and their continued fraction expansion

被引：0

作者：

France, MM ^{[1
]}

van der Poorten, AJ ^{[1
]}

Shallit, J ^{[1
]}

机构：

[1] Univ Bordeaux 1, Dept Math & Informat, F-33405 Talence, France

来源：

NUMBER THEORY IN PROGRESS, VOLS 1 AND 2: VOL 1: DIOPHANTINE PROBLEMS AND POLYNOMIALS; VOL 2: ELEMENTARY AND ANALYTIC NUMBER THEORY; | 1999年

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We note that the continued fraction expansion of a lacunary formal power series is a folded continued fraction with monomial partial quotients, and with the property that its convergents have denominators that are the sums of distinct monomials, that is, they are polynomials with coefficients 0, 1, and -1 only. Our results generalise, simplify and refine remarks of a previous note 'Convergents of folded continued fractions' (Acta Arith. LXXVII).

引用

页码：321 / 326

页数：6

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