The best error terms for the prime number theorem

Speaker: 

Timothy Trudgian

Affiliation: 

UNSW Canberra

Date: 

Wed, 21/11/2018 - 2:00pm

Venue: 

RC-4082, The Red Centre, UNSW

Abstract: 

In 1980 Pintz showed how to squeeze the most out of the zero-free region for the Riemann zeta-function. Such regions give one good error terms for the prime number theorem. I’ll talk about recent work with Dave Platt in which we apply these ideas to an old result of Ramanujan.

School Seminar Series: