Upper bounds for moments of Dirichlet LL‐functions to a fixed modulus | Synapse
October 1, 2025Open Access
Upper bounds for moments of Dirichlet LL‐functions to a fixed modulus
Key Points
Establishes sharp upper bounds for moments of Dirichlet L-functions.
Focuses on central values related to fixed prime modulus.
Highlights the behavior of real moments of Dirichlet L-functions.
Provides a rigorous framework for analyzing upper bounds.
Abstract
Abstract We study the moment of central values of the family of Dirichlet ‐functions to a fixed prime modulus and establish sharp upper bounds for all real .