Washington State
University
Combinatorics, Linear Algebra and Number Theory Seminar
Department of Mathematics and Statistics
Zoom
August 30, Monday, 4:10 - 5:00 PM
Vorrapan Chandee
Department of Mathematics
Kansas State University
Combinatorics, Linear Algebra and Number Theory Seminar
Department of Mathematics and Statistics
Zoom
August 30, Monday, 4:10 - 5:00 PM
Vorrapan Chandee
Department of Mathematics
Kansas State University
Title:
The sixth moment of Dirichlet
L-functions without average in the t-aspect
Abstract: We prove an asymptotic for the sixth moment of Dirichlet L-functions averaged over primitive characters modulo q, over all moduli q <= Q. Unlike the previous work of Conrey, Iwaniec, and Soundararajan, we do not need to include an average on the critical line, thus requiring treatment of the "unbalanced" sums. This is a joint work with Xiannan Li, Kaisa Matomaki, and Maksym Radziwill.
Abstract: We prove an asymptotic for the sixth moment of Dirichlet L-functions averaged over primitive characters modulo q, over all moduli q <= Q. Unlike the previous work of Conrey, Iwaniec, and Soundararajan, we do not need to include an average on the critical line, thus requiring treatment of the "unbalanced" sums. This is a joint work with Xiannan Li, Kaisa Matomaki, and Maksym Radziwill.