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. The error term in the asymptotic formula is on the order of O(x2=3+δ) for every δ > 0:
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© 2021 European Mathematical Society.
- Cubic moment
- Quadratic Dirichlet L-functions
- Smoothed asymptotic formula
- Weyl group multiple Dirichlet series