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      https://www.ias.ac.in/article/fulltext/pmsc/102/01/0001-0012

    • Keywords

       

      Riemann zeta-function; frequency; Titchmarsh’s phenomenon

    • Abstract

       

      For suitable functionsH = H(T) the maximum of¦(ζ(σ + it))z¦ taken overT≤t≤T + H is studied. For fixed σ(1/2≤σ≤l) and fixed complex constantsz “expected lower bounds” for the maximum are established.

    • Author Affiliations

       

      R Balasubramanian1 K Ramachandra1 2 A Sankaranarayanan1 2

      1. The Institute of Mathematical Sciences, Madras - 600113, India
      2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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