Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feynman integrals and critical modular $L$-values   Broadhurst conjectured that the Feynman integral associated to the polynomial
corresponding to $t=1$ in the one-parameter family
$(1+x_1+x_2+x_3)(1+x_1^{-1}+x_2^{-1}+x_3^{-1})-t$ is expressible in terms of
$L(f,2),$ where $f$ is a cusp form of weight $3$ and level $15$. Bloch, Kerr
and Vanhove have recently proved that the conjecture holds up to a rational
factor. In this paper, we prove that Broadhurst's conjecture is true. Similar
identities involving Feynman integrals associated to other polynomials in the
same family are also established.

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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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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: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom