Dr. Ken Ono, “Polya’s Program for the Riemann Hypothesis and Related Problems." Part of the Baylor Undergraduate Lecture Series in Mathematics

DateJanuary 18, 2018
Time3:30 - 4:30 pm
LocationSid Richardson Science Building, room 344

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 100% of the Jensen polynomials of every 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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PublisherOffice of the Vice Provost for Research
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