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<p>We consider distances between sets of Farey fractions defined by parity constraints and establish connections with upper bounds for the real parts of zeros of the Riemann zeta function and of the Dirichlet <i>L</i>-function associated to the non-principal Dirichlet character modulo 4.</p>

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Metric properties of Farey series and connections to the Riemann hypothesis

  • 期刊论文

  • 发表日期：

    2025年5月22日

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  • Sun Kim,
  • Alexandru Zaharescu

摘要

We consider distances between sets of Farey fractions defined by parity constraints and establish connections with upper bounds for the real parts of zeros of the Riemann zeta function and of the Dirichlet L-function associated to the non-principal Dirichlet character modulo 4.