Some properties of the continued fraction expansion of (m/n) e1/q

Some properties of the continued fraction expansion of (m/n) e1/q
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(m/n) e1/q 连分数展开式的一些性质

DOI:
10.1017/s0305004100057108
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发表时间:
1970
影响因子:
0.8
通讯作者:
R. F. C. Walters
R. F. C. Walters
中科院分区:
数学2区
文献类型:
--
作者:
K. R. Matthews;R. F. C. Walters

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导论.如果b1,...,bh,是正整数,1(x),...,k(x)是具有有理系数的多项式,对于x = 0,1,2,...,取正整数值,并且至少有一个多项式不是常数,则这种形式的连分数称为赫维茨分数。f1(x),.,fk(x)被称为形成准周期。
Introduction. Continued fractions of the form are called Hurwitzian if b1, …, bh, are positive integers, ƒ1(x), …, ƒk(x) are polynomials with rational coefficients which take positive integral values for x = 0, 1, 2, …, and at least one of the polynomials is not constant. f1(x), …, fk(x) are said to form a quasi-period.