Alexandra Florea: Negative moments of the Riemann zeta function (NTWS 140)
Channel: Number Theory Web Seminar
Date: 2023-05-19

Abstract: I will talk about 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 one can obtain non-trivial upper bounds for smaller shifts. Joint work with H. Bui.

Link to slides: https://drive.google.com/file/d/1_SVkUj-oWbQruwI2l9pgYSB6AJChv00p

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, September 22, 2022 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm Israel Daylight Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, September 23, 2022 (1am AEST, 3am NZST)