Seminars & Colloquia Calendar
Jensen–Polya Program for the Riemann Hypothesis and Related Problems
Ken ONO (U. of Virginia)
Location: Hill 705
Date & time: Friday, 06 September 2019 at 4:00PM - 5:00PM
Abstract: In 1927 Polya 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) the Jensen polynomials of every degree d. Moreover, we establish the outright hyperbolicity for all degrees d<10^26. These results follow from a proof of the "derivative aspect" GUE distribution for zeros.
This is joint work with Michael Griffin, Larry Rolen, and Don Zagier.