Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Uniformity Conjecture in Additive Combinatorics   In this paper we show examples for applications of the Bombieri-Lang
conjecture in additive combinatorics, giving bounds on the cardinality of
sumsets of squares and higher powers of integers. Using similar methods we give
bounds on the sum-product problem for matchings.

17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat