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International Chinese-Russian conference on Number Theory
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On the small values of the Riemann zeta-function on the critical line 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: $$ \liminf_{n\to+\infty}\biggl|\zeta\biggl(\frac{1}{2}+it_{n}\biggr)\biggr|e^{A\sqrt{\ln\ln{n}}}=0, $$ where Language: English |
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