David Nguyen (Queen’s University)
Date
Tuesday September 20, 20222:00 pm - 3:00 pm
Location
Jeffery Hall, Room 422Event Category
Number Theory Seminar
Tuesday, September 20th, 2022
Time: 2:00 p.m. Place: Jeffery Hall, Room 422
Speaker: David Nguyen (Queen’s University)
Title: Variance of the k-fold divisor function in arithmetic progressions for individual modulus
Abstract: We discuss some background and the proof of Corollary 1 in arXiv:2205.02354. This result is closely related to moments of Dirichlet L-functions and confirms a smoothed version of a recent conjecture of Keating–Rodgers–Roditty-Gershon–Rudnick-Soundararajan on the variance of the k-fold divisor function in arithmetic progressions to individual composite moduli, in a restricted range.