Oscillation results for the summatory functions of fake \mu

Speaker: Chi Hoi (Kyle) Yip

Date: Thu, Jun 20, 2024

Location: PIMS, University of British Columbia

Conference: Comparative Prime Number Theory

Subject: Number Theory

Class: Scientific

CRG: L-Functions in Analytic Number Theory


Recently Martin, Mossinghoff, and Trudgian investigated comparative number theoretic results for a family of arithmetic functions called “fake $\mu$’s”. In their paper, they focused on the bias and oscillation of the summatory function of a fake $\mu$ at the $\sqrt{x}$ scale, while acknowledging that a function with no bias at this scale could well see one at a smaller scale. In this spirit, I will discuss some new oscillation results for the summatory functions of general fake $\mu$’s. This is joint work with Greg Martin.

Please note, this recording is incomplete due to a problem with the room system.

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