Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Diophantine equations over $\mathbb Z[i]$ with $52$ unknowns   In this paper we show that there is no algorithm to decide whether an
arbitrarily given polynomial equation $P(z_1,\ldots,z_{52})=0$ (with integer
coefficients) over the Gaussian ring $\mathbb Z[i]$ is solvable.

19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph