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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 8,933 of 10,432   
   clicliclic@freenet.de to clicliclic@freenet.de   
   Re: promised test suite checks   
   27 Dec 15 14:19:00   
   
   clicliclic@freenet.de schrieb:   
   >   
   > [...]   
   >   
   > PS: Can your CAS verify that the Riemann hypothesis has finally been   
   > proven? Enjoy < h t t p : / / w w w . r a a b - m a t h . a t /   
   > t r u e . p d f > anyway.   
      
   Well, my CAS finds that the estimation of the behavior of w(t)*t as t ->   
   +infinity in Chap. 3 doesn't hold water. The constant M(s) in Eq. (12)   
   deduced from the Cauchy integral (11) should also depend on the radius r   
   of the integration path, and in particular may M(r,s) then diverge as r   
   -> 1 since the integrand has not been established to be finite at z=1.   
   Thus |w(t)|*t in Eq. (15) is not implied to remain finite as t ->   
   +infinity because r is linked to t such that r -> 1 as the same time.   
   The holomorphicity argument of Chap. 5 consequently breaks down.   
      
   Numerically, the integrand appears to be well-behaved and finite (close   
   to 3.2) around z=1 at s=1/2, on the other hand.   
      
   Curiously enough, this attempt at resolving the Riemann hypothesis,   
   though written in 2013, made it onto the British media websites last   
   month as the work of a differently named Nigerian.   
      
   Martin.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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