论文标题

Riemann Zeta功能转移的联合价值分布

Joint value-distribution of shifts of the Riemann zeta-function

论文作者

Pańkowski, Łukasz

论文摘要

我们证明,任何非零的复合物值$ z_1,\ ldots,z_n $可以通过Riemann Zeta-function $ζ(S+ID_1τ)的以下积分移动来近似$ s $是一个固定的复数,位于关键带的右开放式一半中。

We prove that any non-zero complex values $z_1,\ldots,z_n$ can be approximated by the following integral shifts of the Riemann zeta-function $ζ(s+id_1τ),\ldots,ζ(s+id_nτ)$ for infinitely many $τ$, provided $d_1,\ldots,d_n\in\mathbb{N}$ and $s$ is a fixed complex number lying in the right open half of the critical strip.

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