Title : Title: Jensen polynomials for Riemann's Xi-function and suitable arithmetic sequences
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.

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