Extreme central values of quadratic Dirichlet L -functions with prime conductors
Abstract
Abstract In this paper, we prove a lower bound result for extremely large values of $L(\frac{1}{2},\chi _p)$ with prime numbers $p\equiv 1\pmod 8$, based on generalizing the twisted first moment result of Baluyot–Pratt to the case of short Dirichlet series with large coefficients.
Fields of Study & Subjects
Analytic Number Theory Research
Finite Group Theory Research
Historical Geopolitical and Social Dynamics
Publication details
- Journal / source
- The Quarterly Journal of Mathematics
- Volume
- 77
- Issue
- 1
- Pages
- 175–199
- Publication date
- 9 January 2026
- Language
- EN