Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators
Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators
复制标题
二维代数双曲算子几何连分数周期的确定
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
O. Karpenkov
中科院分区：
文献类型：
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作者：
O. Karpenkov
给出了SL(2，ℤ)群的一个约化双曲整数算子的显式构造，使得相应的Klein意义下的几何连分式的周期之一与给定的正整数序列重合.实验研究了一种确定SL(2，ℤ)中任意算子周期的算法(该算法基于高斯归约理论)。
An explicit construction of a reduced hyperbolic integer operator from the group SL(2, ℤ) such that one of the periods of the corresponding geometric continued fraction in the sense of Klein coincides with a given sequence of positive integers is presented. An algorithm determining periods for any operator in SL(2, ℤ) (which is based on Gauss’ reduction theory) is experimentally studied.