论文标题
由互无偏基的研究引起的乘法功能
Multiplicative functions arising from the study of mutually unbiased bases
论文作者
论文摘要
我们将某种不寻常的乘法函数嵌入了量子物理学的希尔伯特空间中的相互无偏基碱的研究中,该功能在2010年被偶然发现,将我们构建为该特定示例的概括。此外,我们报告了另一个乘法功能,该示例也提出了这一点。它可以用来用指数和表示整数的无平方部分。
We embed the somewhat unusual multiplicative function, which was serendipitously discovered in 2010 during a study of mutually unbiased bases in the Hilbert space of quantum physics, into two families of multiplicative functions that we construct as generalizations of that particular example. In addition, we report yet another multiplicative function, which is also suggested by that example; it can be used to express the squarefree part of an integer in terms of an exponential sum.