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Colloquium – Ken Ono, Emory University

March 5 @ 11:00 am - 12:00 pm

TopicPolya’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 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.

Details

Date:
March 5
Time:
11:00 am - 12:00 pm
Event Categories:
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Organizer

Bulent Tosun
Phone:
205-348-5302
Email:
btosun@ua.edu