##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory Seminar

## Alexandra Florea

#### UC Irvine

## Negative moments of the Riemann zeta function

##### Abstract:

I will talk about recent work towards a conjecture of Gonek regarding negative shifted moments of the Riemann zeta function. I will explain how to obtain asymptotic formulas when the shift in the Riemann zeta function is big enough, and how we can obtain non-trivial upper bounds for smaller shifts. Joint work with H. Bui.

### June 2, 2022

### 2:00 PM

Pre-talk at 1:20 PM

AP&M 6402 and Zoom

See https://www.math.ucsd.edu/~nts

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