Alexander Dobner

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20202026

most citedA proof of Newman's conjecture for the extended Selberg class

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2021

Large deviations of the argument of the Riemann zeta function

Alexander Dobner

Let $S (t) = \frac{1}{π} ℑ lo g ζ (\frac{1}{2} + i t)$ . We prove an unconditional lower bound on the measure of the sets ${t \in [T, 2 T] : S (t) \geq V}$ for $\sqrt{\log\lo…

math.NT2020★ 1 cited

A proof of Newman's conjecture for the extended Selberg class

Alexander Dobner

Newman's conjecture (proved by Rodgers and Tao in 2018) concerns a certain family of deformations ${ξ_{t} (s)}_{t \in R}$ of the Riemann xi function for which there exists…