The Sixth Power Moment of Dirichlet L-Functions

J. B. Conrey, H. Iwaniec, K. Soundararajan

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1257-1288
Number of pages32
JournalGeometric and Functional Analysis
Issue number5
StatePublished - Oct 2012

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology


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