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| ``Re: failure function''
by akdevaraj on 2008-03-26 06:34:28 |
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| > I have just modified this entry in the encyclopedia by
> being a little more specific as far as the definition of a
> "failure" goes.However, I would like to emphasise that the
> definition of a "failure" will depend on the problem in
> hand.For example if we are tackling RH the definition of a
> failure would be a non-root.For the purpose of illustration
> I am just giving one of the relevant failure functions.
>
> Let s be a non-root( a failure).Then
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> zeta(s + k*zeta(s)) is a failure function.Here k
> belongs to N.
>
> A.K.Devaraj
I would like to clarify that s + k*zeta(s) is the failure function and zeta(s + k*zeta(s)) generates an infinite set of failures ( non-roots).
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