Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaps between prime divisors and analogues in Diophantine geometry   Erd\H{o}s considered the second moment of the gap-counting function of prime
divisors in 1946 and proved an upper bound that is not of the right order of
magnitude. We prove asymptotics for all moments.
  Furthermore, we prove a generalisation stating that the gaps between primes
$p$ for which there is no $\mathbb{Q}_p$-point on a random variety are Poisson
distributed.

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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph