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      https://www.ias.ac.in/article/fulltext/pmsc/099/02/0155-0162

    • Keywords

       

      Riemann zeta-function

    • Abstract

       

      A generalization of the Riemann zeta-function which has the form$$\zeta _\alpha (s) = \prod\limits_p {\frac{1}{{1 - p^{ - s} + (p + a)^{ - 3} }}} $$ is considered. Analytical properties with respect to s and asymptotic behaviour whena → ∞ are investigated. The correspondingL-function is also discussed. This consideration has an application in the theory ofp-adic strings.

    • Author Affiliations

       

      K Ramachandra1 I V Volovich1 2

      1. Tata Institute of Fundamental Research, Bombay - 400005, India
      2. Steklov Mathematical Institute, Moscow, USSR
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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