论文标题
Baker-Campbell-Hausdorff系列的最小共同点
Smallest common denominators for the homogeneous components of the Baker-Campbell-Hausdorff series
论文作者
论文摘要
在最近的一篇论文中，作者得出了一种计算贝克脑贝尔 - 霍斯多夫（BCH）系列均匀组成部分的共同点的公式。在目前的工作中，证明该公式实际上产生了最小的这种共同点。在附录中，提出了用于计算BCH系列系数的新的有效算法，该算法基于这些共同的分母，仅需要整数算术，而不是效率较低的有理算术。
In a recent paper the author derived a formula for calculating common denominators for the homogeneous components of the Baker-Campbell-Hausdorff (BCH) series. In the present work it is proved that this formula actually yields the smallest such common denominators. In an appendix a new efficient algorithm for computing coefficients of the BCH series is presented, which is based on these common denominators, and requires only integer arithmetic rather than less efficient rational arithmetic.
