The sixth power moment of Dirichlet L-functions

JB Conrey, H Iwaniec, K Soundararajan

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)

Abstract

We prove a formula, with power savings, for the sixth moment of Dirichlet L- functions averaged over all primitive characters χ (mod q) with q ≤ Q, and over the critical line. Our formula agrees precisely with predictions motivated by random matrix theory. In particular, the constant 42 appears as a factor in the leading order term, exactly as is predicted for the sixth moment of the Riemann zeta-function.
Translated title of the contributionThe sixth moment of Dirichlet L-functions
Original languageEnglish
Pages (from-to)1257-1288
Number of pages32
JournalGeometric and Functional Analysis
Volume22
Issue number5
DOIs
Publication statusPublished - Oct 2012

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