论文标题
与Riemann Zeta功能有关的积极猜想
A positivity conjecture related to the Riemann zeta function
论文作者
论文摘要
根据Nyman和Báez-Duarte的两个显着定理，Riemann假设等同于关于最小二乘近似的简单标准。在执行与此标准相关的计算时，我们观察到了一种奇怪的现象：没有明显的原因，至少与Riemann Zeta函数相关的某个无限三角矩阵的第一个十亿个条目都是正面的。在本文中，我们描述了导致这种观察的背景，并做出了猜想。
According to two remarkable theorems of Nyman and Báez-Duarte, the Riemann hypothesis is equivalent to a simply-stated criterion concerning least-squares approximation. In carrying out computations related to this criterion, we have observed a curious phenomenon: for no apparent reason, at least the first billion entries of a certain infinite triangular matrix associated to the Riemann zeta function are all positive. In this article we describe the background leading to this observation, and make a conjecture.
