Abstract
We establish a smoothed asymptotic formula for the third moment of quadratic Dirichlet L-functions at the central value. In addition to the main term, which is known, we prove the existence of a secondary term of size x3=4.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2051-2070 |
| Number of pages | 20 |
| Journal | Journal of the European Mathematical Society |
| Volume | 23 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 European Mathematical Society.
Keywords
- Cubic moment
- Quadratic Dirichlet L-functions
- Smoothed asymptotic formula
- Weyl group multiple Dirichlet series