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Graduate Student Number Theory Learning Seminar

A zero-density theorem for the Riemann zeta function 

Louis Gaudet, Rutgers University

Location:  Hill 425
Date & time: Wednesday, 16 October 2019 at 10:30AM - 11:30AM

Abstract:  A zero-density theorem is an upper bound on the number of zeros of the zeta function in a rectangle in the critical strip. We will prove one such estimate that implies, in particular, that zero percent of the zeta function's zeros have real part greater than A, for any A > 1/2. We will see how the proof uses a mollifier, that is, a function that pretends to behave like 1/zeta.

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