### Half-isolated zeros and zero-density estimates

Heilbronn Number Theory Seminar

1st March 2023, 4:00 pm – 5:00 pm

Fry Building, 2.04

We discuss a new zero-detecting method which is sensitive to the vertical distribution of zeros of the zeta function. This allows us to show that there are few ‘half-isolated’ zeros. If we assume that the zeros of the zeta function are restricted to finitely many vertical lines, then we can improve upon classical zero-density results of Ingham and Huxley. This is joint work with James Maynard and Roger Heath-Brown.

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