Talk page
Title:
The alternative hypothesis and some extremal problems related to mimicking zeta zero statistics
Speaker:
Abstract:
The Alternative Hypothesis concerns a hypothetical (and unlikely) arrangement of the zeros of the Riemann zeta function in which zeros are spaced as though they lie in a lattice. Ruling out the alternative hypothesis would have a number of interesting consequences in number theory. In this talk I will discuss joint work with J. Lagarias and independent work of T. Tao showing that what is presently known about the spacing of zeros of the zeta function is not sufficient to rule out the Alternative Hypothesis. This is done via construction of explicit counterexamples. I hope to also advertise some open problems coming mainly from analysis and probability which are related to this perspective.
Link:
Workshop: