Fake mu's: Make Abstracts Great Again!
Speaker: Tim Trudgian
Date: Mon, Jun 17, 2024
Location: PIMS, University of British Columbia
Conference: Comparative Prime Number Theory
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Mon, Jun 17, 2024
Location: PIMS, University of British Columbia
Conference: Comparative Prime Number Theory
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
The partial sums of the Liouville function λ(n) are "often" negative, and yet the partials sums of the Möbius function μ(n) are positive or negative "roughly equally". How can this, be, given that μ(n) and λ(n) are so similar? I shall discuss some problems in this area, some joint work with Greg Martin and Mike Mossinghoff, and a possible application to zeta-zeroes.
