Journal of the Ramanujan Mathematical Society
Volume 38, Issue 3, September 2023 pp. 265–273.
Hölder and Kurokawa meet Borwein–Dykshoorn and Adamchik
Authors:
J.-P. Allouche
Author institution:
CNRS, IMJ-PRG, Sorbonne, 4 Place Jussieu, F-75252 Paris Cedex 05, France.
Summary:
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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