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Washington State University
Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics
  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

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.