Bias for the kappa factor function
Speaker: Sneha Chaubey
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 $\kappa$-factor function is a generalization of the irrational factor function introduced by Atanassov. We investigate the behavior of the sum of the $\kappa$-factor function over arithmetic progressions and study its bias over reduced residue classes. We also study this phenomenon for $\kappa$-factor functions defined over number fields and function fields.
