# Seminar detail

 Upcoming Seminars No upcoming seminars currently scheduled. Past Seminars Tue10/17/20174:00pm Seminar: AlgebraJensen-Polya Criterion for the Riemann Hypothesis and Related ProblemsLarry Rolen, Trinity College Dublin and Georgia TechContact: John Duncan, john.duncan@emory.eduVenue: Mathematics and Science Center, Room W306Download printable flyer (PDF, 51.7 kB)Hide abstractIn this talk, I will summarize forthcoming work with Griffin, Ono, and Zagier. 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 $d\leq3$. We obtain an arbitrary precision asymptotic formula for the derivatives $\Xi^{(2n)}(0)$, which allows us to 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 general condition also confirms a conjecture of Chen, Jia, and Wang.