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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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