Special values of L-series attached to Erdos functions

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan.

Speaker: Siddhi Pathak, Queen's University

Abstract: Inspired by Dirichlet's theorem that $L(1,\chi) \neq 0$ for a non-principal Dirichlet character $\chi$, S. Chowla initiated the study of non-vanishing of $L(1,f)$ for a rational valued, $q$-periodic arithmetical function $f$. In this context, Erdos conjectured that $L(1,f) \neq 0$ when $f$ takes values in $\{ -1, 1\}$. This conjecture remains open in the case $q \equiv 1 \bmod 4$ or when $q > 2 \phi(q) + 1$. In this talk, we discuss a density theoretic approach towards this conjecture and the distribution of these values.

Room Reservation Information

Room Number: 114 McAllister

Date: 02/14/2019

Time: 1:30pm - 2:30pm