Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smallest common denominators for the homogeneous components of the
  Baker-Campbell-Hausdorff series   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.

28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat