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) |
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Pages (from-to) | 2051-2070 |
Number of pages | 20 |
Journal | Journal of the European Mathematical Society |
Volume | 23 |
Issue number | 6 |
DOIs | |
State | Published - Feb 24 2021 |
Bibliographical note
Publisher Copyright:© 2021 European Mathematical Society.
Keywords
- Cubic moment
- Quadratic Dirichlet L-functions
- Smoothed asymptotic formula
- Weyl group multiple Dirichlet series