Twisted first moment of quadratic and quadratic twist $L$-functions

Abstract

We evaluate the twisted first moment of central values of the product of a quadratic Dirichlet $L$-function and a quadratic twist of a modular $L$-function.

arXiv comment16 pages

References in corpus (7)

• Moments and distribution of central L-values of quadratic twists of elliptic curves
• The second moment of quadratic twists of modular $L$-functions
• The first moment of quadratic Dirichlet L-functions
• The third moment of quadratic Dirichlet L-functions
• Nonvanishing of Dirichlet L-functions
• Determination of $\text{GL}(3)$ cusp forms by central values of quadratic twisted $L$-functions
• One-level density of quadratic twists of $L$-functions

Cited by in corpus (1)

• Extreme central values of quadratic Dirichlet $L$-functions with prime conductors