We use approximation in measure to solve an asymptotic Dirichlet problem on arbitrary open sets and to show that many functions, including the Riemann zeta-function, are universal in measure. Connections with the Riemann hypothesis are suggested.

中文翻译：

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度量上的近似：狄利克雷问题、普遍性和黎曼假设

我们使用度量上的近似来解决任意开集上的渐近狄利克雷问题，并表明许多函数，包括黎曼 zeta 函数，在度量上是通用的。建议与黎曼假设的联系。