• Dirichlet Expression for $L(1, \chi)$ with General Dirichlet Character

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    • Keywords


      Hurwitz zeta function; Dirichlet character; Dirichlet 𝐿-series; primitive character.

    • Abstract


      In the famous work of Dirichlet on class number formula, $L(s, \chi)$ at $s=1$ has been expressed as a finite sum, where $L(s, \chi)$ is the Dirichlet 𝐿-series of a real Dirichlet character. We show that this expression with obvious modification is valid for the general primitive Dirichlet character 𝜒.

    • Author Affiliations


      V V Rane1

      1. Department of Mathematics, The Institute of Science, 15, Madam Cama Road, Mumbai 400 032, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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