The mollified fourth moment of Dirichlet L-functions

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This is a Quantitative Study study.

Peng Gao; Xiaosheng Wu; Liangyi Zhao

doi:10.48550/arxiv.2509.24690

September 29, 2025Open Access

The mollified fourth moment of Dirichlet L-functions

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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.

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Implication

Analysis evaluates the mollified fourth moment for Dirichlet L-functions, suggesting an asymptotic formula with an error term.

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. (2025) studied this question.

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

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The mollified fourth moment of Dirichlet L-functions

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

The mollified fourth moment of Dirichlet L-functions

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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