Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independence of Artin L-functions   Let $K/\mathbb Q$ be a finite Galois extension. Let $\chi_1,\ldots,\chi_r$ be
$r\geq 1$ distinct characters of the Galois group with the associated Artin
L-functions $L(s,\chi_1),\ldots, L(s,\chi_r)$. Let $m\geq 0$. We prove that the
derivatives $L^{(k)}(s,\chi_j)$, $1\leq j\leq r$, $0\leq k\leq m$, are linearly
independent over the field of meromorphic functions of order $<1$. From this it
follows that the L-functions corresponding to the irreducible characters are
algebraically independent over the field of meromorphic functions of order
$<1$.

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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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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: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga