由相互无偏基的研究而产生的乘法函数

Q4 Mathematics

New Zealand Journal of Mathematics Pub Date : 2020-03-08 DOI:10.53733/99

H. Chan, B. Englert

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引用次数: 0

摘要

我们介绍了两个乘法函数族，它们推广了2010年在量子物理希尔伯特空间中对互无偏基的研究中偶然发现的有点不寻常的函数。此外，我们报告了另一个乘法函数，这也是由这个例子提出的;它可以用来用指数和来表示整数的无平方部分。

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Multiplicative functions arising from the study of mutually unbiased bases

We introduce two families of multiplicative functions, which generalize the somewhat unusual function that was serendipitously discovered in 2010 during a study of mutually unbiased bases in the Hilbert space of quantum physics. 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.

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来源期刊

New Zealand Journal of Mathematics Mathematics-Algebra and Number Theory

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

50 weeks