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
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
Abstract:
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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