Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-adjoint boundary value problems of automorphic forms   We apply some ideas of Bombieri and Garrett to construct natural self-adjoint
operators on spaces of automorphic forms whose only possible discrete spectrum
is $\lambda_{s}$ for $s$ in a subset of on-line zeros of an $L$-function,
appearing as a compact period of cuspidal-data Eisenstein series on $GL_{4}$.
These ideas have their origins in results of Hejhal and Colin de Verdi\'ere. In
parallel with the $GL(2)$ case, the corresponding pair-correlation and
triple-correlation results limit the fraction of on-the-line zeros that can
appear in this fashion.

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The categories of this paper are: alg-geom
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The categories of this paper are: econ
9
The categories of this paper are: nlin
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph