Algebra/Number Theory Seminar

The -values of the Riemann zeta function near the critical line

Yoonbook Lee, Incheon National U

Wednesday, April 25th, 2018
12:00 PM - 1:00 PM
Hylan 1106A

We study the value distribution of the Riemann zeta function near the line . We find an asymptotic formula for the number of -values in the rectangle , for fixed and . To prove it, we need an extension of the valid range of Lamzouri, Lester and Radziwill’s recent results on the discrepancy between the distribution of and its random model. We also propose the secondary main term for the Selberg’s central limit theorem by providing sharper estimates on the line . This is a joint work with Junsoo Ha in KIAS.

Event contact: dinesh dot thakur at rochester dot edu