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October 17, 2025Open Access

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

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Authors

PGPeng GaoLZLiangyi Zhao

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Overview

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

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.

Cite This Study

Gao et al. (2025) studied this question.

synapsesocial.com/papers/68f19f24de32064e504ddf70https://doi.org/10.48550/arxiv.2507.18186
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