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``failure function'' by akdevaraj on 2008-03-26 00:53:57
 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

zeta(s + k*zeta(s)) is a failure function.Here k belongs to N.

A.K.Devaraj
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