The eighth moment of Dirichlet L-functions II
We prove an asymptotic formula for the eighth moment of Dirichlet L-functions averaged over primitive characters χ modulo q, over all moduli q≤Q, and with a short average on the critical line. Previously the same result was shown conditionally on the generalized Riemann hypothesis by the first two authors.
Authors
- Xiannan Li (ORCID: https://orcid.org/0000-0003-4363-2756)
- Vorrapan Chandee (ORCID: https://orcid.org/0000-0002-7112-4153)
- Maksym Radziwiłł
- Kaisa Matomäki
Institutions
- Northwestern University (US)
- University of Turku (FI)
- Kansas State University (US)
Publication Details
- Journal
- Duke Mathematical Journal
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1215/00127094-2024-0014
- Citations
- 1
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 1.27