Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a class of Feynman integrals evaluating to iterated integrals of
  modular forms   In this talk we discuss a class of Feynman integrals, which can be expressed
to all orders in the dimensional regularisation parameter as iterated integrals
of modular forms. We review the mathematical prerequisites related to elliptic
curves and modular forms. Feynman integrals, which evaluate to iterated
integrals of modular forms go beyond the class of multiple polylogarithms.
Nevertheless, we may bring for all examples considered the associated system of
differential equations by a non-algebraic transformation to an
$\varepsilon$-form, which makes a solution in terms of iterated integrals
immediate.

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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg