A note on twisted moments of Dirichlet $\boldsymbol{L}$-functions
Abstract In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet $L$ -functions with one twist when averaged over all primitive Dirichlet characters of modulus $R$ , where $R$ is a monic polynomial in $\mathbb{F}_q[T]$ .
Authors
- J. MacMillan (ORCID: https://orcid.org/0000-0002-7807-0098)
- Julio Andrade (ORCID: https://orcid.org/0000-0002-3431-6623)
Institutions
- University of Exeter (GB)
- Swansea University (GB)
Publication Details
- Journal
- Glasgow Mathematical Journal
- Published
- 2025-09-24
- DOI
- https://doi.org/10.1017/s0017089525100785
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Leverhulme Trust
- University of Exeter
- Swansea University