Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moyennes effectives de fonctions multiplicatives complexes   We establish effective mean-value estimates for a wide class of
multiplicative arithmetic functions, thereby providing (essentially optimal)
quantitative versions of Wirsing's classical estimates and extending those of
Hal\'asz. Several applications are derived, including: estimates for the
difference of mean-values of so-called pretentious functions, local laws for
the distribution of prime factors in an arbitrary set, and weighted
distribution of additive functions.

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph