Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A stronger connection between the Erd\H{o}s-Burgess and Davenport
  constants   The Erd\H{o}s-Burgess constant of a semigroup $S$ is the smallest positive
integer $k$ such that any sequence over $S$ of length $k$ contains a nonempty
subsequence whose elements multiply to an idempotent element of $S$. In the
case where $S$ is the multiplicative semigroup of $\mathbb{Z}/n\mathbb{Z}$, we
confirm a conjecture connecting the Erd\H{o}s-Burgess constant of $S$ and the
Davenport constant of $(\mathbb{Z}/n\mathbb{Z})^{\times}$ for $n$ with at most
two prime factors. We also discuss the extension of our techniques to other
rings.

25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas