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The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields

  • Masanori Katsurada (a1) and Kohji Matsumoto (a2)

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Let q be a positive integer, and L(s, χ) the Dirichlet L-function corresponding to a Dirichlet character χ mod q. We put

where χ runs over all Dirichlet characters mod q except for the principal character χ 0.

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References

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The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields

  • Masanori Katsurada (a1) and Kohji Matsumoto (a2)

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