Twisted fourth moment of Dirichlet L-functions to a fixed modulus

Q: What type of study is this?

This is a Quantitative Study study.

Peng Gao; Liangyi Zhao

doi:10.48550/arxiv.2507.18186

July 24, 2025Open Access

Twisted fourth moment of Dirichlet L-functions to a fixed modulus

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Key Points

The research reveals a power-saving error term in twisted fourth moment evaluations.
An asymptotic formula was derived for Dirichlet L-functions on the critical line at a fixed prime power modulus.
This study assesses the behavior of Dirichlet L-functions, contributing to understanding number theory.
Utilizing advanced analytic methods, the results have implications for further exploration of L-functions.

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Implication

Evaluation of twisted fourth moment of Dirichlet L-functions shows an asymptotic formula, indicating significant results for prime power modulus.

Abstract

We evaluate the twisted four moment on the critical line of the family of Dirichlet L-functions to a fixed prime power 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/68f19f24de32064e504ddf70 https://doi.org/10.48550/arxiv.2507.18186

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Twisted fourth moment of Dirichlet L-functions to a fixed modulus

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Twisted fourth moment of Dirichlet L-functions to a fixed modulus

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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