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Washington State
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Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

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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.