Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on the index conjecture in zero-sum theory and its connection to a
  Dedekind-type sum   Let $S=(a_1)\cdots(a_k)$ be a minimal zero-sum sequence over a finite cyclic
group $G$. The index conjecture states that if $k=4$ and $\gcd(|G|,6)=1$, then
$S$ has index 1. In this note we study the index conjecture and connect it to a
Dedekind-type sum. In particular we reprove a special case of the conjecture
when $|G|$ is prime.

32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph