论文标题

Hölder和Kurokawa与Borwein-Dykshoorn和Adamchik见面

Hölder and Kurokawa meet Borwein--Dykshoorn and Adamchik

论文作者

Allouche, J. -P.

论文摘要

在我们在HU和KIM的最新预印象中发现了一个很好的身份之后,我们展示了黑川多个三角函数与Borwein-Dykshoorn和Adamchik分别引入的两个函数之间的联系。特别是涉及$ζ(3)$,$π$和加泰罗尼亚常数$ g $的几种身份相关。

Following our discovery of a nice identity in a recent preprint of Hu and Kim, we show a link between the Kurokawa multiple trigonometric functions and two functions introduced respectively by Borwein-Dykshoorn and by Adamchik. In particular several identities involving $ζ(3)$, $π$ and the Catalan constant $G$ that are proved in these three papers are related.

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