Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on multiplicative functions resembling the M\"obius function   We provide examples of multiplicative functions $f$ supported on the
squarefree integers, such that on primes $f(p)=\pm1$ and such that
$M_f(x):=\sum_{n\leq x} f(n)=o(\sqrt{x})$. Further, by assuming the Riemann
hypothesis (RH) we can go beyond $\sqrt{x}$-cancellation.

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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
1
The categories of this paper are: cs
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The categories of this paper are: eess
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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: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ