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International Chinese-Russian conference on Number Theory
October 8, 2012 16:00, Moscow, Steklov Mathematical Institute
 


On the small values of the Riemann zeta-function on the critical line

M. A. Korolev
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M. A. Korolev
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Abstract: The main goal of the talk is to describe some recent results of the speaker concerning the existence of very small values of the Riemann zeta-function on the sequence of Gram points on the critical line. In particular, the following result will be discussed:
$$ \liminf_{n\to+\infty}|\zeta(\frac{1}{2}+it_{n})|e^{A\sqrt{\ln\ln{n}}}=0, $$
where $A$ is an arbitrary large positive number.

Language: English

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