论文标题

Riemann Zeta功能的移动矩

Shifted moments of the Riemann zeta function

论文作者

Ng, Nathan, Shen, Quanli, Wong, Peng-Jie

论文摘要

在本文中,我们证明了Riemann假设暗示了Chandee在Riemann Zeta函数的转移时刻的猜想。证明是基于哈珀(Harper)关于$ 2K $的尖锐上限的想法,即在关键线上的Riemann Zeta功能的瞬间。

In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$-th moments of the Riemann zeta function on the critical line.

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