James Maynard: Half-Isolated Zeros and Zero-Density Estimates

James Maynard: Half-Isolated Zeros and Zero-Density Estimates

Explore a groundbreaking zero-detecting method for the zeta function in this 1-hour 14-minute lecture by James Maynard at the Hausdorff Center for Mathematics. Delve into the concept of 'half-isolated' zeros and discover how this new approach improves upon classical zero density results. Learn about the implications for primes in short intervals under specific assumptions. Examine a novel variant of the Turan power sum method, which may interest harmonic analysts. Gain insights into joint work with Kyle Pratt, focusing on the vertical distribution of zeros and its impact on number theory research.