COSAM » Events » 2018 » September » DMS Colloquium: Ken Ono

 DMS Colloquium: Ken Ono Time: Sep 27, 2018 (04:00 PM) Location: Parker Hall 236 Details: Speaker: Ken Ono, Asa Griggs Candler Professor of Mathematics (Emory University) Title: Polya’s Program for the Riemann Hypothesis and Related Problems Abstract: In 1927 Polya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for Riemann’s Xi-function. This hyperbolicity has 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 $$d$$. We obtain a general theorem which models such polynomials by Hermite polynomials, which in the case of the zeta-function can be thought of as a "degree aspect" GUE distribution. The general 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.    Faculty host: Narendra Govil

Last updated: 08/29/2018