Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note On Signs Of Fourier Coefficients Of Two Cusp Forms   Kohnen and Sengupta proved that two cusp forms of different integral weights
with real algebraic Fourier coefficients have infinitely many Fourier
coefficients of the same as well as of opposite sign, up to the action of a
Galois automorphism. Recently Gun, Kohnen and Rath strengthen their result by
comparing the simultaneous sign changes of Fourier coefficients of two cusp
forms with arbitrary real Fourier coefficients. The simultaneous sign changes
of Fourier coefficients of two same integral weight cusp forms follow from an
earlier work of Ram Murty. In this note we compare the signs of the Fourier
coefficients of two cusp forms simultaneously for the congruence subgroup
$\Gamma_0(\mathit{N})$ where the coefficients lie in an arithmetic progression.
Next we consider an analogous question for the particular sparse sequences of
Fourier coefficients of normalized Hecke eigen cusp forms for the full modular
group.

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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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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: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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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: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: eess