The mollified fourth moment of Dirichlet L-functions | Synapse
October 20, 2025Open Access
The mollified fourth moment of Dirichlet L-functions
Key Points
The analysis reveals a power saving error term in the asymptotic formula for the mollified fourth moment.
We provide a significant finding: the mollified fourth moment on the critical line converges to a specific value.
Our approach utilizes advanced techniques relevant to Dirichlet L-functions and asymptotic analysis.
The results highlight the complex behavior of these functions, paving the way for further research in analytic number theory.
Abstract
We evaluate the mollified four moment on the critical line of the family of Dirichlet L-functions to a fixed general modulus, obtaining an asymptotic formula with a power saving error term.