Speaker: Ken Ono, Thomas Jefferson Professor of Mathematics at the University of Virginia and the Asa Griggs Candler Professor of Mathematics at Emory University
Title: Jensen-Polya 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 had only been proved for degrees d=1,2,3. We prove the
hyperbolicity of all (but possibly finitely many) the Jensen polynomials
of every degree d. Moreover, we establish the outright hyperbolicity for
all degrees d<10^26. These results follow from an unconditional proof of
the "derivative aspect" GUE distribution for zeros. This is joint work
with Michael Griffin, Larry Rolen, and Don Zagier.
Department of Mathematical Sciences
George Mason University
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