Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple zeros of primitive Dirichlet $L$-functions and the asymptotic
  large sieve   Assuming the Generalized Riemann Hypothesis (GRH), we show using the
asymptotic large sieve that 91% of the zeros of primitive Dirichlet
$L$-functions are simple. This improves on earlier work of \"{O}zl\"{u}k which
gives a proportion of at most 86%. We further compute an $q$-analogue of the
Pair Correlation Function $F(\alpha)$ averaged over all primitive Dirichlet
$L$-functions in the range $|\alpha| < 2$ . Previously such a result was
available only when the average included all the characters $\chi$.

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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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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: chem-ph