Lower bounds for moments of quadratic twists of modular $L$-functions

Abstract

We establish sharp lower bounds for the $2k$-th moment in the range $k\ge 1/2$ of the family of quadratic twists of modular $L$-functions at the central point.

arXiv comment10 pages

References in corpus (5)

• 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
• Moments of L'(1/2) in the Family of Quadratic Twists

Cited by in corpus (1)

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