The third moment of quadratic Dirichlet L-functions

Abstract

We study the third moment of quadratic Dirichlet L-functions, obtaining an error term of size $O(X^{3/4+\epsilon })$.

27 pages. v2: modified a remark on p.1

References in corpus (2)

• Mean values with cubic characters
• The first moment of quadratic Dirichlet L-functions

Cited by in corpus (10)

• The fourth moment of quadratic Dirichlet $L$-functions
• Moments of central values of quartic Dirichlet $L$-functions
• Determination of $\text{GL}(3)$ cusp forms by central values of quadratic twisted $L$-functions
• Moments of quadratic Dirichlet $L$-functions over Function Fields
• First Moments of Some Hecke $L$-functions of Prime Moduli
• Lower bounds for moments of quadratic twists of modular $L$-functions
• Twisted first moment of quadratic and quadratic twist $L$-functions
• Mean squares of quadratic twists of the Möbius function
• The first moment of quadratic twists of modular $L$-functions
• Extreme central values of quadratic Dirichlet $L$-functions with prime conductors