• On the zeros ofζ(1)(s)a (on the zeros of a class of a generalized Dirichlet series — XVII)

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    • Keywords

       

      Riemann zeta function; generalized Dirichlet series; derivatives; distribution of zeros

    • Abstract

       

      Some very precise results (see Theorems 4 and 5) are proved about thea-values of thelth derivative of a class of generalized Dirichlet series, forllo =lo(a) (lo being a large constant). In particular for the precise results on the zeros ofζ(1)(s)a (a any complex constant andllo) see Theorems 1 and 2 of the introduction.

    • Author Affiliations

       

      K Ramachandra1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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