Speaker: Ken Ono Affiliation: Emory University Time: 5:00 pm Monday, 9 October, 2017 Location: SLT1/303-G01 |
In 1927 Polya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for Riemann's Xi-function. This hyperbolicity has been proved for degrees d=1, 2, 3. We prove the hyperbolicity of 100\% of the Jensen polynomials of each degree. We obtain a general theorem which models such polynomials by Hermite polynomials. This theorem also allows us to prove a conjecture of Chen, Jia, and Wang on the partition function. This is joint work with Michael Griffin, Larry Rolen, and Don Zagier. |