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<p>We establish upper bounds for shifted moments of cubic and quartic Dirichlet <i>L</i>-functions under the generalized Riemann hypothesis. As applications, we prove bounds for moments of cubic and quartic Dirichlet character sums.</p>

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Shifted moments of cubic and quartic Dirichlet L-functions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月16日

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  • Peng Gao,
  • Liangyi Zhao

摘要

We establish upper bounds for shifted moments of cubic and quartic Dirichlet L-functions under the generalized Riemann hypothesis. As applications, we prove bounds for moments of cubic and quartic Dirichlet character sums.