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This is a Quantitative Study study.

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.

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Cite This Study

Gao et al. (Mon,) studied this question.

synapsesocial.com/papers/68f5fcce8d54a28a75cf1cc0 https://doi.org/https://doi.org/10.48550/arxiv.2509.24690