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0.6048986456... a New Constant for Riemann Zeta Function

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  • miltbrown@earthlink.net
    Perhaps this is a new constant for the Riemann Zeta function for prime numbers where it is written as the sum of sin, cos, and sum(-1)^r/r^(1/2) This constant
    Message 1 of 1 , Dec 31, 2007
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      Perhaps this is a new constant for the Riemann Zeta function for prime numbers
      where it is written as the sum of sin, cos, and sum(-1)^r/r^(1/2)

      This constant is the convergence of the sum (-1)^r/r^(1/2)
      where r = 1, 2, 3, 4, ... or
      1-1/sqrt(2)+1/sqrt(3)+...

      for terms

      999 .6207139841
      1000 .5890912075

      9999 .6098987708
      10000 .5998987708

      14999 .6089811921
      15000 .6008162263

      49999 .6071347136
      50000 .6026625776


      Notice that this sum is close to 1/sqrt(e) = 0.6065306597...

      Milton L. Brown
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