Tuesday, December 17 2019
15:30 - 16:20

* VenueMedia Centre
* SpeakerLarry Rolen
* TitleJensen-Polya Criterion for the Riemann Hypothesis and Related Problems
AffiliationVanderbilt University
AbstractIn the first talk, I will summarize forthcoming work with Griffin, Ono, and Zagier. In 1927 Pólya 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.
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* Refreshments?Before the event
* Honorarium?None
Special Arrangements?None
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