A new approach to zero-free regions

Authors

Jesse Thorner, University Of Illinois, Urbana-Champaign

Document Type

Lecture

Publication Date

4-11-2023

Abstract

I will present a new approach to establishing zero-free regions. The approach is applicable to Rankin-Selberg L-functions for which the method of de la Vallee Poussin is not yet known to be applicable. Applications include the strongest known error term in the prime number theorem for all Rankin-Selberg L-functions. This is joint work with Gergely Harcos.

Relational Format

presentation

Recommended Citation

Thorner, Jesse, "A new approach to zero-free regions" (2023). Algebra/Number Theory Seminar. 4.
https://egrove.olemiss.edu/math_algebra_number_theory/4