Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Erd\H{o}s-Ginzburg-Ziv Constants for
  $(\mathbb{Z}/n\mathbb{Z})^2$   For an abelian group $G$ and an integer $t > 0$, the modified
Erd\H{o}s-Ginzburg-Ziv constant $s'_t(G)$ is the smallest integer $\ell$ such
that any zero-sum sequence of length at least $\ell$ with elements in $G$
contains a zero-sum subsequence (not necessarily consecutive) of length $t$. We
compute bounds for $s'_{t}(G)$ for $G = \left(\mathbb{Z}/n\mathbb{Z}\right)^2$
and $G = \left(\mathbb{Z}/n_1\mathbb{Z} \times
\mathbb{Z}/n_2\mathbb{Z}\right)$. We also compute bounds for $G =
\left(\mathbb{Z}/p\mathbb{Z}\right)^d$ where the subsequence can be any length
in $\{p, \dots, (d-1)p\}$. Lastly, we investigate the Erd\H{o}s-Ginzburg-Ziv
constant for $G = \left(\mathbb{Z}/n\mathbb{Z}\right)^2$ and subsequences of
length $tn$.

4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ