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On the semigroup of Artin's \(L\)-functions holomorphic at \(s_0\) - MaRDI portal

On the semigroup of Artin's \(L\)-functions holomorphic at \(s_0\) (Q1011456)

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On the semigroup of Artin's \(L\)-functions holomorphic at \(s_0\)
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    On the semigroup of Artin's \(L\)-functions holomorphic at \(s_0\) (English)
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    8 April 2009
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    The author observes that the semigroup of all Artin \(L\)-functions of a given Galois extension \(K/Q\) regular at a given point \(s_0\neq1\) is finitely generated and gives a condition for the regularity of all Artin \(L\)-functions at \(s_0\).
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    Artin \(L\)-function
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    Artin conjecture on \(L\)-functions
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