Document Type
Lecture
Publication Date
10-11-2019
Abstract
In 1927, Pólya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for Riemann’s Xi-function. This hyperbolicity had only been proved for degrees d = 1, 2, 3. We prove the hyperbolicity of all (but possibly finitely many) Jensen polynomials of every degree d. Moreover, we establish the outright hyperbolicity for all degrees d < 10²⁶. These results follow from an unconditional proof of the 'derivative aspect' GUE distribution for zeros. This is joint work with Michael Griffin, Larry Rolen, and Don Zagier.
Relational Format
presentation
Recommended Citation
Ono, Ken, "Jensen–Pólya Program for the Riemann Hypothesis and Related Problems" (2019). Colloquium. 2.
https://egrove.olemiss.edu/math_colloquium/2
