Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primes in arithmetic progressions to large moduli III: Uniform residue
  classes   We prove new mean value theorems for primes in arithmetic progressions to
moduli larger than $x^{1/2}$, extending the Bombieri-Vinogradov theorem to
moduli of size $x^{1/2+\delta}$ which have conveniently sized divisors. The
main feature of these estimates is that they are completely uniform with
respect to the residue classes considered, unlike previous works on primes in
arithmetic progressions to large moduli.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga