Timeline for What is the best known upper bound for $\frac{1}{\zeta'(\rho)}$ assuming the SZC but not the RH?

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Jun 2, 2021 at 16:48	answer	added	Terry Tao		timeline score: 16
Jun 2, 2021 at 16:20	comment	added	Terry Tao		How does the argument of Montgomery-Vaughan Theorem 15.6 give (1)? If one has two extremely close simple zeroes $\rho_1,\rho_2$ it is extremely difficult to use contour integration to separate the contribution of $\frac{1}{\zeta'(\rho_1)}$ and $\frac{1}{\zeta'(\rho_2)}$ from each other. Indeed, given that $\frac{1}{\zeta'(\rho)}$ would become infinite if $\rho$ collided with another zero, it seems unreasonable to expect any upper bound on $\frac{1}{\zeta'(\rho)}$ whatsoever unless one assumed an explicit lower bound on the spacing between zeroes.
Jun 2, 2021 at 8:41	history	edited	Daniele Tampieri	CC BY-SA 4.0	Minor Math Jaxing and formatting (formula hyperlinking)
Jun 2, 2021 at 8:32	history	edited	user257465	CC BY-SA 4.0	added 6 characters in body
Jun 2, 2021 at 7:54	history	edited	user257465	CC BY-SA 4.0	added 59 characters in body
Jun 2, 2021 at 7:49	history	edited	user257465	CC BY-SA 4.0	added 59 characters in body
Jun 2, 2021 at 7:42	history	asked	user257465	CC BY-SA 4.0