Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An asymptotic expansion for a twisted Lambert series associated to a
  cusp form and the M\"{o}bius function: level aspect   Recently, Juyal, Maji, and Sathyanarayana have studied a Lambert series
associated with a cusp form over the full modular group and the M\"{o}bius
function. In this paper, we investigate the Lambert series
$\sum_{n=1}^{\infty}[a_f(n)\psi(n)*\mu(n)\psi'(n)]\exp(-ny),$ where $a_f(n)$ is
the $n$th Fourier coefficient of a cusp form $f$ over any congruence subgroup,
and $\psi$ and $ \psi'$ are primitive Dirichlet characters. This extends the
earlier work to the case of higher level subgroups and also gives a character
analogue.

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The categories of this paper are: hep-ph
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The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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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: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol