The connector for the double Ohno relation
Volume 201 / 2021
Acta Arithmetica 201 (2021), 109-118
MSC: Primary 11M32; Secondary 11B65.
DOI: 10.4064/aa200621-18-5
Published online: 28 October 2021
Abstract
We introduce a new connector which generalizes the connector found by the third author and Yamamoto. The new connector gives a direct proof of the double Ohno relation recently proved by the first and the second authors, Murahara, and Onozuka. Furthermore, we obtain a simultaneous generalization of the ($q$-)Ohno relation and the ($q$-)double Ohno relation.