Explicit zero-free regions or the Riemann zeta-function for large t

Andrew Yang

A zero-free region of the Riemann zeta-function is a subset of the complex plane where the zeta-function is known to not vanish. In this talk we will discuss various computational and analytic techniques used to enlarge the zero-free region for the Riemann zeta-function, when the imaginary part of a complex zero is large. We will also explore the limitations of currently known approaches. This talk will reference a number of works from the literature, including a joint work with M. Mossinghoff and T. Trudgian.

https://mathtube.org/lecture/video/explicit-zero-free-regions-or-riemann-zeta-function-large-t

Mathtube- L -Functions in Analytic Number Theory