# Past Events

Number Theory Seminar

## On the zeros of derivatives (and their combinations) of the completed Riemann zeta function

#### Amita Malik

Location:  Hill 425
Date & time: Tuesday, 05 December 2017 at 2:00PM - 3:00PM

It is known that the Riemann Hypothesis for the completed Riemann zeta function  $$xi(s)$$ implies the Riemann Hypothesis for its higher derivatives. Conrey investigated the proportion of zeros of higher derivatives on the critical line and proved that this proportion approaches 1 as the order of the derivative becomes large. On the other hand, vertical distribution of zeros of the Riemann zeta function has also attracted a lot of attention. In this talk, we discuss the distribution of imaginary parts of zeros of derivatives of $$xi(s)$$, and the proportion of zeros of combinations of these derivatives on the critical line.

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