YoVDO

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

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Number Theory Courses Harmonic Analysis Courses Zeta Functions Courses

Course Description

Overview

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.

Syllabus

James Maynard: Half-isolated zeros and zero-density estimates


Taught by

Hausdorff Center for Mathematics

Related Courses

Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art
ICTP Mathematics via YouTube
The Distribution of Values of Zeta and L-Functions
International Mathematical Union via YouTube
Spectral Gaps of Random Covers of Hyperbolic Surfaces
Hausdorff Center for Mathematics via YouTube
Infinite Series in 17th and 18th Century Mathematics
Insights into Mathematics via YouTube
Frobenius Structure and p-adic Zeta Function
Hausdorff Center for Mathematics via YouTube