Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A short note on inadmissible coefficients of weight $2$ and $2k+1$
  newforms   Let $f(z)=q+\sum_{n\geq 2}a(n)q^n$ be a weight $k$ normalized newform with
integer coefficients and trivial residual mod 2 Galois representation. We
extend the results of Amir and Hong in \cite{AH} for $k=2$ by ruling out or
locating all odd prime values $|\ell|<100$ of their Fourier coefficients $a(n)$
when $n$ satisfies some congruences. We also study the case of odd weights
$k\geq 1$ newforms where the nebentypus is given by a real quadratic Dirichlet
character.

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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: q-fin