Abstract
Assuming computations of the Riemann zeta function exhibit its true behavior, we get, under the Riemann hypothesis, a bound for a linear combination of odd order derivatives of Hardy’s Z-function evaluated at T + a and T – a where are some well chosen inflection points of Z. This bound, which only holds for beyond the computational capabilities of modern computers, suggests that Riemann hypothesis is not true. The key element in our argument is an identity which links the zeroes of a function f defined on the interval and the values of its derivatives of odd order at
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