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arXiv · 2205.09492

H\"older and Kurokawa meet Borwein--Dykshoorn and Adamchik

J. -P. Allouche
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Abstract

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 $\zeta(3)$, $\pi$ and the Catalan constant $G$ that are proved in these three papers are related.

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J. -P. Allouche. 2022-05-19. H\"older and Kurokawa meet Borwein--Dykshoorn and Adamchik. https://arxiv.org/abs/2205.09492

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