Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new upper bound for the cross number of finite Abelian groups   In this paper, building among others on earlier works by U. Krause and C.
Zahlten (dealing with the case of cyclic groups), we obtain a new upper bound
for the little cross number valid in the general case of arbitrary finite
Abelian groups. Given a finite Abelian group, this upper bound appears to
depend only on the rank and on the number of distinct prime divisors of the
exponent. The main theorem of this paper allows us, among other consequences,
to prove that a classical conjecture concerning the cross and little cross
numbers of finite Abelian groups holds asymptotically in at least two different
directions.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph