H\"older and Kurokawa meet Borwein--Dykshoorn and Adamchik
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 ζ(3), π and the Catalan constant G that are proved in these three papers are related.
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