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Ramunas Garunkstis: On the zeros of the Riemann zeta-function

Time: Tue 2024-04-16 09.00 - 09.50

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Ramunas Garunkstis (Vilnis University)

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Abstract:

We present several results about zeros of the Riemann zeta-function \(\zeta(s)\). One of them states that \(\zeta(s)\) and its derivative have the same number of zeros in small areas located to the left of the critical line and near it. This is related to similar investigations by Levinson and Montgomery. Futher, we consider the mean value of \(\zeta(s)\) over its shifted nontrivial zeros. This topic was started by Gonek.

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