Seminars & Colloquia Calendar

Download as iCal file


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.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.