Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a weighted zero-sum constant related to the Jacobi symbol   For a finite abelian group $(G,+)$ of exponent $m\geq 2$ and for a non-empty
set $A\subseteq\{1,2,\ldots,m-1\}$, the $A$-weighted zero-sum constant $C_A(G)$
is defined to be the smallest natural number $k$, such that any sequence of $k$
elements in $G$ has a subsequence of consecutive terms such that some
$A$-linear combination of its terms is zero (the identity element). We consider
the group $\mathbb Z_n$ and take $A$ to be the kernel of the map given by the
Jacobi symbol. For a prime divisor $p$ of $n$, we also consider the set
$\big\{x\in \mathbb Z_n\mid x~\textrm{is a unit
and}~\big(\frac{x}{n}\big)=\big(\frac{x}{p}\big)\big\}$ as a weight set.

9
The categories of this paper are: nlin
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin