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      Vanishing of the integral of the Hurwitz zeta function

      Broughan, Kevin A.
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      vanishing.pdf
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      DOI
       10.1017/S000497270002013X
      Link
       www.austms.org.au
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      Citation
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      Broughan, K.A. (2002). Vanishing of the integral of the Hurwitz zeta function. Bulletin of the Australian Mathematical Society, 65, 121-127.
      Permanent Research Commons link: https://hdl.handle.net/10289/2037
      Abstract
      A proof is given that the improper Riemann integral of δ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with R(s) < 1. The integral does not exist (as a finite real number) when R(s) ≥ 1.
      Date
      2002
      Type
      Journal Article
      Publisher
      Australian Mathematical Society
      Rights
      This is an author’s final version of an article published in the journal: Bulletin of the Australian Mathematical Society. © 2002 Australian Mathematical Society. Used with permission.
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      • Computing and Mathematical Sciences Papers [1455]
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